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Finding the Fourth Proportional to 14,287.11, 19,715.94 and 7,913.54

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Solution

The fourth proportional to 14,287.11, 19,715.94 and 7,913.54 is: 10,920.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.11 : 19,715.94 = 7,913.54 : x
  2. Step 2: Convert to fraction form
    14,287.11/19,715.94 = 7,913.54/x
  3. Step 3: Cross multiply
    14,287.11x = 19,715.94 × 7,913.54
  4. Step 4: Simplify right side
    14,287.11x = 156,022,781.25
  5. Step 5: Solve for x
    x = 156,022,781.25/14,287.11
  6. Step 6: Final answer
    x = 10,920.53

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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.