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Finding the Fourth Proportional to 7,129.86, 9,844.68 and 5,555.22

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Solution

The fourth proportional to 7,129.86, 9,844.68 and 5,555.22 is: 7,670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.86 : 9,844.68 = 5,555.22 : x
  2. Step 2: Convert to fraction form
    7,129.86/9,844.68 = 5,555.22/x
  3. Step 3: Cross multiply
    7,129.86x = 9,844.68 × 5,555.22
  4. Step 4: Simplify right side
    7,129.86x = 54,689,363.23
  5. Step 5: Solve for x
    x = 54,689,363.23/7,129.86
  6. Step 6: Final answer
    x = 7,670.47

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Half scale
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Find fourth proportional to 7,130.86, 9,846.06 and 5,556.22
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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.