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Finding the Fourth Proportional to 8,512.71, 12,772.70 and 7,787.36

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Solution

The fourth proportional to 8,512.71, 12,772.70 and 7,787.36 is: 11,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.71 : 12,772.70 = 7,787.36 : x
  2. Step 2: Convert to fraction form
    8,512.71/12,772.70 = 7,787.36/x
  3. Step 3: Cross multiply
    8,512.71x = 12,772.70 × 7,787.36
  4. Step 4: Simplify right side
    8,512.71x = 99,465,607.23
  5. Step 5: Solve for x
    x = 99,465,607.23/8,512.71
  6. Step 6: Final answer
    x = 11,684.36

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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.