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Finding the Fourth Proportional to 36,980.68, 55,470.66 and 9,278.68

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Solution

The fourth proportional to 36,980.68, 55,470.66 and 9,278.68 is: 13,917.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,980.68 : 55,470.66 = 9,278.68 : x
  2. Step 2: Convert to fraction form
    36,980.68/55,470.66 = 9,278.68/x
  3. Step 3: Cross multiply
    36,980.68x = 55,470.66 × 9,278.68
  4. Step 4: Simplify right side
    36,980.68x = 514,694,503.53
  5. Step 5: Solve for x
    x = 514,694,503.53/36,980.68
  6. Step 6: Final answer
    x = 13,917.93

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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.