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Finding the Fourth Proportional to 8,360.76, 11,540.10 and 5,215.08

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Solution

The fourth proportional to 8,360.76, 11,540.10 and 5,215.08 is: 7,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,360.76 : 11,540.10 = 5,215.08 : x
  2. Step 2: Convert to fraction form
    8,360.76/11,540.10 = 5,215.08/x
  3. Step 3: Cross multiply
    8,360.76x = 11,540.10 × 5,215.08
  4. Step 4: Simplify right side
    8,360.76x = 60,182,544.71
  5. Step 5: Solve for x
    x = 60,182,544.71/8,360.76
  6. Step 6: Final answer
    x = 7,198.21

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Half scale
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Double scale
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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.