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Finding the Fourth Proportional to 12,160.80, 18,113.40 and 11,592

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Solution

The fourth proportional to 12,160.80, 18,113.40 and 11,592 is: 17,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.80 : 18,113.40 = 11,592 : x
  2. Step 2: Convert to fraction form
    12,160.80/18,113.40 = 11,592/x
  3. Step 3: Cross multiply
    12,160.80x = 18,113.40 × 11,592
  4. Step 4: Simplify right side
    12,160.80x = 209,970,532.80
  5. Step 5: Solve for x
    x = 209,970,532.80/12,160.80
  6. Step 6: Final answer
    x = 17,266.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.