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Finding the Fourth Proportional to 13,802.40, 20,649.33 and 10,658.52

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Solution

The fourth proportional to 13,802.40, 20,649.33 and 10,658.52 is: 15,945.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.40 : 20,649.33 = 10,658.52 : x
  2. Step 2: Convert to fraction form
    13,802.40/20,649.33 = 10,658.52/x
  3. Step 3: Cross multiply
    13,802.40x = 20,649.33 × 10,658.52
  4. Step 4: Simplify right side
    13,802.40x = 220,091,296.79
  5. Step 5: Solve for x
    x = 220,091,296.79/13,802.40
  6. Step 6: Final answer
    x = 15,945.87

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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.