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Finding the Fourth Proportional to 19,672.80, 27,148.36 and 11,292

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Solution

The fourth proportional to 19,672.80, 27,148.36 and 11,292 is: 15,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672.80 : 27,148.36 = 11,292 : x
  2. Step 2: Convert to fraction form
    19,672.80/27,148.36 = 11,292/x
  3. Step 3: Cross multiply
    19,672.80x = 27,148.36 × 11,292
  4. Step 4: Simplify right side
    19,672.80x = 306,559,281.12
  5. Step 5: Solve for x
    x = 306,559,281.12/19,672.80
  6. Step 6: Final answer
    x = 15,582.90

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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.