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Finding the Fourth Proportional to 10,490.78, 15,751.68 and 7,002.52

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Solution

The fourth proportional to 10,490.78, 15,751.68 and 7,002.52 is: 10,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.78 : 15,751.68 = 7,002.52 : x
  2. Step 2: Convert to fraction form
    10,490.78/15,751.68 = 7,002.52/x
  3. Step 3: Cross multiply
    10,490.78x = 15,751.68 × 7,002.52
  4. Step 4: Simplify right side
    10,490.78x = 110,301,454.23
  5. Step 5: Solve for x
    x = 110,301,454.23/10,490.78
  6. Step 6: Final answer
    x = 10,514.13

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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.