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Finding the Fourth Proportional to 12,691.72, 19,028.22 and 4,897

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Solution

The fourth proportional to 12,691.72, 19,028.22 and 4,897 is: 7,341.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.72 : 19,028.22 = 4,897 : x
  2. Step 2: Convert to fraction form
    12,691.72/19,028.22 = 4,897/x
  3. Step 3: Cross multiply
    12,691.72x = 19,028.22 × 4,897
  4. Step 4: Simplify right side
    12,691.72x = 93,181,193.34
  5. Step 5: Solve for x
    x = 93,181,193.34/12,691.72
  6. Step 6: Final answer
    x = 7,341.89

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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.