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Finding the Fourth Proportional to 37,765, 52,115.79 and 21,001.24

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Solution

The fourth proportional to 37,765, 52,115.79 and 21,001.24 is: 28,981.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,765 : 52,115.79 = 21,001.24 : x
  2. Step 2: Convert to fraction form
    37,765/52,115.79 = 21,001.24/x
  3. Step 3: Cross multiply
    37,765x = 52,115.79 × 21,001.24
  4. Step 4: Simplify right side
    37,765x = 1,094,496,213.58
  5. Step 5: Solve for x
    x = 1,094,496,213.58/37,765
  6. Step 6: Final answer
    x = 28,981.76

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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.