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Finding the Fourth Proportional to 38,309.52, 52,902 and 28,861.68

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Solution

The fourth proportional to 38,309.52, 52,902 and 28,861.68 is: 39,855.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,309.52 : 52,902 = 28,861.68 : x
  2. Step 2: Convert to fraction form
    38,309.52/52,902 = 28,861.68/x
  3. Step 3: Cross multiply
    38,309.52x = 52,902 × 28,861.68
  4. Step 4: Simplify right side
    38,309.52x = 1,526,840,595.36
  5. Step 5: Solve for x
    x = 1,526,840,595.36/38,309.52
  6. Step 6: Final answer
    x = 39,855.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.