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Finding the Fourth Proportional to 10,486.72, 15,731.04 and 5,289.28

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Solution

The fourth proportional to 10,486.72, 15,731.04 and 5,289.28 is: 7,934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.72 : 15,731.04 = 5,289.28 : x
  2. Step 2: Convert to fraction form
    10,486.72/15,731.04 = 5,289.28/x
  3. Step 3: Cross multiply
    10,486.72x = 15,731.04 × 5,289.28
  4. Step 4: Simplify right side
    10,486.72x = 83,205,875.25
  5. Step 5: Solve for x
    x = 83,205,875.25/10,486.72
  6. Step 6: Final answer
    x = 7,934.40

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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.