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Finding the Fourth Proportional to 11,418, 17,100.12 and 9,580.92

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Solution

The fourth proportional to 11,418, 17,100.12 and 9,580.92 is: 14,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,418 : 17,100.12 = 9,580.92 : x
  2. Step 2: Convert to fraction form
    11,418/17,100.12 = 9,580.92/x
  3. Step 3: Cross multiply
    11,418x = 17,100.12 × 9,580.92
  4. Step 4: Simplify right side
    11,418x = 163,834,881.71
  5. Step 5: Solve for x
    x = 163,834,881.71/11,418
  6. Step 6: Final answer
    x = 14,348.82

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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.