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Finding the Fourth Proportional to 8,511.72, 11,751.84 and 7,612.62

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Solution

The fourth proportional to 8,511.72, 11,751.84 and 7,612.62 is: 10,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.72 : 11,751.84 = 7,612.62 : x
  2. Step 2: Convert to fraction form
    8,511.72/11,751.84 = 7,612.62/x
  3. Step 3: Cross multiply
    8,511.72x = 11,751.84 × 7,612.62
  4. Step 4: Simplify right side
    8,511.72x = 89,462,292.22
  5. Step 5: Solve for x
    x = 89,462,292.22/8,511.72
  6. Step 6: Final answer
    x = 10,510.48

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Half scale
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Double scale
Find fourth proportional to 8,512.72, 11,753.22 and 7,613.62
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.