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Finding the Fourth Proportional to 8,463.78, 12,681.65 and 5,986.32

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Solution

The fourth proportional to 8,463.78, 12,681.65 and 5,986.32 is: 8,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.78 : 12,681.65 = 5,986.32 : x
  2. Step 2: Convert to fraction form
    8,463.78/12,681.65 = 5,986.32/x
  3. Step 3: Cross multiply
    8,463.78x = 12,681.65 × 5,986.32
  4. Step 4: Simplify right side
    8,463.78x = 75,916,385.10
  5. Step 5: Solve for x
    x = 75,916,385.10/8,463.78
  6. Step 6: Final answer
    x = 8,969.56

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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.