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Finding the Fourth Proportional to 10,902.66, 15,041.28 and 6,419.28

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Solution

The fourth proportional to 10,902.66, 15,041.28 and 6,419.28 is: 8,856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.66 : 15,041.28 = 6,419.28 : x
  2. Step 2: Convert to fraction form
    10,902.66/15,041.28 = 6,419.28/x
  3. Step 3: Cross multiply
    10,902.66x = 15,041.28 × 6,419.28
  4. Step 4: Simplify right side
    10,902.66x = 96,554,187.88
  5. Step 5: Solve for x
    x = 96,554,187.88/10,902.66
  6. Step 6: Final answer
    x = 8,856.02

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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.