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Finding the Fourth Proportional to 8,647.71, 11,935.40 and 6,781.47

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Solution

The fourth proportional to 8,647.71, 11,935.40 and 6,781.47 is: 9,359.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.71 : 11,935.40 = 6,781.47 : x
  2. Step 2: Convert to fraction form
    8,647.71/11,935.40 = 6,781.47/x
  3. Step 3: Cross multiply
    8,647.71x = 11,935.40 × 6,781.47
  4. Step 4: Simplify right side
    8,647.71x = 80,939,523.13
  5. Step 5: Solve for x
    x = 80,939,523.13/8,647.71
  6. Step 6: Final answer
    x = 9,359.65

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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.