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Finding the Fourth Proportional to 36,585, 54,807.38 and 21,749

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Solution

The fourth proportional to 36,585, 54,807.38 and 21,749 is: 32,581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,585 : 54,807.38 = 21,749 : x
  2. Step 2: Convert to fraction form
    36,585/54,807.38 = 21,749/x
  3. Step 3: Cross multiply
    36,585x = 54,807.38 × 21,749
  4. Step 4: Simplify right side
    36,585x = 1,192,005,707.62
  5. Step 5: Solve for x
    x = 1,192,005,707.62/36,585
  6. Step 6: Final answer
    x = 32,581.82

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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.