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Finding the Fourth Proportional to 52,855.68, 72,974.16 and 36,978

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Solution

The fourth proportional to 52,855.68, 72,974.16 and 36,978 is: 51,052.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,855.68 : 72,974.16 = 36,978 : x
  2. Step 2: Convert to fraction form
    52,855.68/72,974.16 = 36,978/x
  3. Step 3: Cross multiply
    52,855.68x = 72,974.16 × 36,978
  4. Step 4: Simplify right side
    52,855.68x = 2,698,438,488.48
  5. Step 5: Solve for x
    x = 2,698,438,488.48/52,855.68
  6. Step 6: Final answer
    x = 51,052.95

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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.