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Finding the Fourth Proportional to 52,379.94, 72,282.66 and 28,506

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Solution

The fourth proportional to 52,379.94, 72,282.66 and 28,506 is: 39,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,379.94 : 72,282.66 = 28,506 : x
  2. Step 2: Convert to fraction form
    52,379.94/72,282.66 = 28,506/x
  3. Step 3: Cross multiply
    52,379.94x = 72,282.66 × 28,506
  4. Step 4: Simplify right side
    52,379.94x = 2,060,489,505.96
  5. Step 5: Solve for x
    x = 2,060,489,505.96/52,379.94
  6. Step 6: Final answer
    x = 39,337.38

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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.