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Finding the Fourth Proportional to 8,665.71, 11,963.82 and 5,686.76

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Solution

The fourth proportional to 8,665.71, 11,963.82 and 5,686.76 is: 7,851.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.71 : 11,963.82 = 5,686.76 : x
  2. Step 2: Convert to fraction form
    8,665.71/11,963.82 = 5,686.76/x
  3. Step 3: Cross multiply
    8,665.71x = 11,963.82 × 5,686.76
  4. Step 4: Simplify right side
    8,665.71x = 68,035,313.20
  5. Step 5: Solve for x
    x = 68,035,313.20/8,665.71
  6. Step 6: Final answer
    x = 7,851.10

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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.