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Finding the Fourth Proportional to 11,124, 15,353.74 and 6,649.76

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Solution

The fourth proportional to 11,124, 15,353.74 and 6,649.76 is: 9,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,124 : 15,353.74 = 6,649.76 : x
  2. Step 2: Convert to fraction form
    11,124/15,353.74 = 6,649.76/x
  3. Step 3: Cross multiply
    11,124x = 15,353.74 × 6,649.76
  4. Step 4: Simplify right side
    11,124x = 102,098,686.10
  5. Step 5: Solve for x
    x = 102,098,686.10/11,124
  6. Step 6: Final answer
    x = 9,178.23

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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.