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Finding the Fourth Proportional to 10,129.20, 13,978.80 and 5,652.87

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Solution

The fourth proportional to 10,129.20, 13,978.80 and 5,652.87 is: 7,801.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.20 : 13,978.80 = 5,652.87 : x
  2. Step 2: Convert to fraction form
    10,129.20/13,978.80 = 5,652.87/x
  3. Step 3: Cross multiply
    10,129.20x = 13,978.80 × 5,652.87
  4. Step 4: Simplify right side
    10,129.20x = 79,020,339.16
  5. Step 5: Solve for x
    x = 79,020,339.16/10,129.20
  6. Step 6: Final answer
    x = 7,801.24

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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.