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Finding the Fourth Proportional to 10,064.52, 15,100.20 and 3,139.20

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Solution

The fourth proportional to 10,064.52, 15,100.20 and 3,139.20 is: 4,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.52 : 15,100.20 = 3,139.20 : x
  2. Step 2: Convert to fraction form
    10,064.52/15,100.20 = 3,139.20/x
  3. Step 3: Cross multiply
    10,064.52x = 15,100.20 × 3,139.20
  4. Step 4: Simplify right side
    10,064.52x = 47,402,547.84
  5. Step 5: Solve for x
    x = 47,402,547.84/10,064.52
  6. Step 6: Final answer
    x = 4,709.87

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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.