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Finding the Fourth Proportional to 8,145.42, 12,199.14 and 5,948.70

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Solution

The fourth proportional to 8,145.42, 12,199.14 and 5,948.70 is: 8,909.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.42 : 12,199.14 = 5,948.70 : x
  2. Step 2: Convert to fraction form
    8,145.42/12,199.14 = 5,948.70/x
  3. Step 3: Cross multiply
    8,145.42x = 12,199.14 × 5,948.70
  4. Step 4: Simplify right side
    8,145.42x = 72,569,024.12
  5. Step 5: Solve for x
    x = 72,569,024.12/8,145.42
  6. Step 6: Final answer
    x = 8,909.18

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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.