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Finding the Fourth Proportional to 13,048.38, 17,989.97 and 10,656.05

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Solution

The fourth proportional to 13,048.38, 17,989.97 and 10,656.05 is: 14,691.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048.38 : 17,989.97 = 10,656.05 : x
  2. Step 2: Convert to fraction form
    13,048.38/17,989.97 = 10,656.05/x
  3. Step 3: Cross multiply
    13,048.38x = 17,989.97 × 10,656.05
  4. Step 4: Simplify right side
    13,048.38x = 191,701,876.59
  5. Step 5: Solve for x
    x = 191,701,876.59/13,048.38
  6. Step 6: Final answer
    x = 14,691.62

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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.