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Finding the Fourth Proportional to 6,648.71, 9,962.13 and 5,270.90

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Solution

The fourth proportional to 6,648.71, 9,962.13 and 5,270.90 is: 7,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.71 : 9,962.13 = 5,270.90 : x
  2. Step 2: Convert to fraction form
    6,648.71/9,962.13 = 5,270.90/x
  3. Step 3: Cross multiply
    6,648.71x = 9,962.13 × 5,270.90
  4. Step 4: Simplify right side
    6,648.71x = 52,509,391.02
  5. Step 5: Solve for x
    x = 52,509,391.02/6,648.71
  6. Step 6: Final answer
    x = 7,897.68

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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.