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Finding the Fourth Proportional to 8,381.58, 12,614.45 and 6,312.30

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Solution

The fourth proportional to 8,381.58, 12,614.45 and 6,312.30 is: 9,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.58 : 12,614.45 = 6,312.30 : x
  2. Step 2: Convert to fraction form
    8,381.58/12,614.45 = 6,312.30/x
  3. Step 3: Cross multiply
    8,381.58x = 12,614.45 × 6,312.30
  4. Step 4: Simplify right side
    8,381.58x = 79,626,161.17
  5. Step 5: Solve for x
    x = 79,626,161.17/8,381.58
  6. Step 6: Final answer
    x = 9,500.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.