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Finding the Fourth Proportional to 10,101.20, 15,154 and 4,260.56

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Solution

The fourth proportional to 10,101.20, 15,154 and 4,260.56 is: 6,391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.20 : 15,154 = 4,260.56 : x
  2. Step 2: Convert to fraction form
    10,101.20/15,154 = 4,260.56/x
  3. Step 3: Cross multiply
    10,101.20x = 15,154 × 4,260.56
  4. Step 4: Simplify right side
    10,101.20x = 64,564,526.24
  5. Step 5: Solve for x
    x = 64,564,526.24/10,101.20
  6. Step 6: Final answer
    x = 6,391.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.