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Finding the Fourth Proportional to 28,103.80, 42,158.10 and 8,381.08

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Solution

The fourth proportional to 28,103.80, 42,158.10 and 8,381.08 is: 12,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,103.80 : 42,158.10 = 8,381.08 : x
  2. Step 2: Convert to fraction form
    28,103.80/42,158.10 = 8,381.08/x
  3. Step 3: Cross multiply
    28,103.80x = 42,158.10 × 8,381.08
  4. Step 4: Simplify right side
    28,103.80x = 353,330,408.75
  5. Step 5: Solve for x
    x = 353,330,408.75/28,103.80
  6. Step 6: Final answer
    x = 12,572.34

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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.