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Finding the Fourth Proportional to 14,109.66, 19,470.78 and 7,821.90

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Solution

The fourth proportional to 14,109.66, 19,470.78 and 7,821.90 is: 10,793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109.66 : 19,470.78 = 7,821.90 : x
  2. Step 2: Convert to fraction form
    14,109.66/19,470.78 = 7,821.90/x
  3. Step 3: Cross multiply
    14,109.66x = 19,470.78 × 7,821.90
  4. Step 4: Simplify right side
    14,109.66x = 152,298,494.08
  5. Step 5: Solve for x
    x = 152,298,494.08/14,109.66
  6. Step 6: Final answer
    x = 10,793.92

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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.