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Finding the Fourth Proportional to 8,507.31, 12,746.38 and 6,757.71

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Solution

The fourth proportional to 8,507.31, 12,746.38 and 6,757.71 is: 10,124.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.31 : 12,746.38 = 6,757.71 : x
  2. Step 2: Convert to fraction form
    8,507.31/12,746.38 = 6,757.71/x
  3. Step 3: Cross multiply
    8,507.31x = 12,746.38 × 6,757.71
  4. Step 4: Simplify right side
    8,507.31x = 86,136,339.59
  5. Step 5: Solve for x
    x = 86,136,339.59/8,507.31
  6. Step 6: Final answer
    x = 10,124.98

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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.