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Finding the Fourth Proportional to 14,964.20, 22,388.70 and 9,780.20

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Solution

The fourth proportional to 14,964.20, 22,388.70 and 9,780.20 is: 14,632.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,964.20 : 22,388.70 = 9,780.20 : x
  2. Step 2: Convert to fraction form
    14,964.20/22,388.70 = 9,780.20/x
  3. Step 3: Cross multiply
    14,964.20x = 22,388.70 × 9,780.20
  4. Step 4: Simplify right side
    14,964.20x = 218,965,963.74
  5. Step 5: Solve for x
    x = 218,965,963.74/14,964.20
  6. Step 6: Final answer
    x = 14,632.65

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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.