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Finding the Fourth Proportional to 10,679.76, 14,743.80 and 7,149

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Solution

The fourth proportional to 10,679.76, 14,743.80 and 7,149 is: 9,869.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.76 : 14,743.80 = 7,149 : x
  2. Step 2: Convert to fraction form
    10,679.76/14,743.80 = 7,149/x
  3. Step 3: Cross multiply
    10,679.76x = 14,743.80 × 7,149
  4. Step 4: Simplify right side
    10,679.76x = 105,403,426.20
  5. Step 5: Solve for x
    x = 105,403,426.20/10,679.76
  6. Step 6: Final answer
    x = 9,869.46

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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.