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Finding the Fourth Proportional to 13,959, 20,948.10 and 5,751

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Solution

The fourth proportional to 13,959, 20,948.10 and 5,751 is: 8,630.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,959 : 20,948.10 = 5,751 : x
  2. Step 2: Convert to fraction form
    13,959/20,948.10 = 5,751/x
  3. Step 3: Cross multiply
    13,959x = 20,948.10 × 5,751
  4. Step 4: Simplify right side
    13,959x = 120,472,523.10
  5. Step 5: Solve for x
    x = 120,472,523.10/13,959
  6. Step 6: Final answer
    x = 8,630.46

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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.