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Finding the Fourth Proportional to 8,407.50, 12,614.01 and 2,564.13

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Solution

The fourth proportional to 8,407.50, 12,614.01 and 2,564.13 is: 3,847.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.50 : 12,614.01 = 2,564.13 : x
  2. Step 2: Convert to fraction form
    8,407.50/12,614.01 = 2,564.13/x
  3. Step 3: Cross multiply
    8,407.50x = 12,614.01 × 2,564.13
  4. Step 4: Simplify right side
    8,407.50x = 32,343,961.46
  5. Step 5: Solve for x
    x = 32,343,961.46/8,407.50
  6. Step 6: Final answer
    x = 3,847.04

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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.