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Finding the Fourth Proportional to 10,129.12, 13,978.14 and 5,652.61

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Solution

The fourth proportional to 10,129.12, 13,978.14 and 5,652.61 is: 7,800.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.12 : 13,978.14 = 5,652.61 : x
  2. Step 2: Convert to fraction form
    10,129.12/13,978.14 = 5,652.61/x
  3. Step 3: Cross multiply
    10,129.12x = 13,978.14 × 5,652.61
  4. Step 4: Simplify right side
    10,129.12x = 79,012,973.95
  5. Step 5: Solve for x
    x = 79,012,973.95/10,129.12
  6. Step 6: Final answer
    x = 7,800.58

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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.