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Finding the Fourth Proportional to 14,287.80, 19,716.47 and 7,913.96

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Solution

The fourth proportional to 14,287.80, 19,716.47 and 7,913.96 is: 10,920.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.80 : 19,716.47 = 7,913.96 : x
  2. Step 2: Convert to fraction form
    14,287.80/19,716.47 = 7,913.96/x
  3. Step 3: Cross multiply
    14,287.80x = 19,716.47 × 7,913.96
  4. Step 4: Simplify right side
    14,287.80x = 156,035,325.41
  5. Step 5: Solve for x
    x = 156,035,325.41/14,287.80
  6. Step 6: Final answer
    x = 10,920.88

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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.