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Finding the Fourth Proportional to 10,614, 14,648.22 and 6,139.02

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Solution

The fourth proportional to 10,614, 14,648.22 and 6,139.02 is: 8,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614 : 14,648.22 = 6,139.02 : x
  2. Step 2: Convert to fraction form
    10,614/14,648.22 = 6,139.02/x
  3. Step 3: Cross multiply
    10,614x = 14,648.22 × 6,139.02
  4. Step 4: Simplify right side
    10,614x = 89,925,715.54
  5. Step 5: Solve for x
    x = 89,925,715.54/10,614
  6. Step 6: Final answer
    x = 8,472.37

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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.