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Finding the Fourth Proportional to 19,200.98, 28,805.34 and 7,514

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Solution

The fourth proportional to 19,200.98, 28,805.34 and 7,514 is: 11,272.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200.98 : 28,805.34 = 7,514 : x
  2. Step 2: Convert to fraction form
    19,200.98/28,805.34 = 7,514/x
  3. Step 3: Cross multiply
    19,200.98x = 28,805.34 × 7,514
  4. Step 4: Simplify right side
    19,200.98x = 216,443,324.76
  5. Step 5: Solve for x
    x = 216,443,324.76/19,200.98
  6. Step 6: Final answer
    x = 11,272.51

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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.