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Finding the Fourth Proportional to 9,839.71, 13,568.08 and 6,647.47

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Solution

The fourth proportional to 9,839.71, 13,568.08 and 6,647.47 is: 9,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.71 : 13,568.08 = 6,647.47 : x
  2. Step 2: Convert to fraction form
    9,839.71/13,568.08 = 6,647.47/x
  3. Step 3: Cross multiply
    9,839.71x = 13,568.08 × 6,647.47
  4. Step 4: Simplify right side
    9,839.71x = 90,193,404.76
  5. Step 5: Solve for x
    x = 90,193,404.76/9,839.71
  6. Step 6: Final answer
    x = 9,166.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.