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Finding the Fourth Proportional to 21,000.78, 31,501.14 and 7,149.78

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Solution

The fourth proportional to 21,000.78, 31,501.14 and 7,149.78 is: 10,724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.78 : 31,501.14 = 7,149.78 : x
  2. Step 2: Convert to fraction form
    21,000.78/31,501.14 = 7,149.78/x
  3. Step 3: Cross multiply
    21,000.78x = 31,501.14 × 7,149.78
  4. Step 4: Simplify right side
    21,000.78x = 225,226,220.75
  5. Step 5: Solve for x
    x = 225,226,220.75/21,000.78
  6. Step 6: Final answer
    x = 10,724.66

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1.5x scale

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.