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Finding the Fourth Proportional to 36,575.76, 54,740.76 and 20,970

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Solution

The fourth proportional to 36,575.76, 54,740.76 and 20,970 is: 31,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,575.76 : 54,740.76 = 20,970 : x
  2. Step 2: Convert to fraction form
    36,575.76/54,740.76 = 20,970/x
  3. Step 3: Cross multiply
    36,575.76x = 54,740.76 × 20,970
  4. Step 4: Simplify right side
    36,575.76x = 1,147,913,737.20
  5. Step 5: Solve for x
    x = 1,147,913,737.20/36,575.76
  6. Step 6: Final answer
    x = 31,384.55

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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.