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Finding the Fourth Proportional to 21,365.36, 32,047.68 and 7,514

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Solution

The fourth proportional to 21,365.36, 32,047.68 and 7,514 is: 11,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,365.36 : 32,047.68 = 7,514 : x
  2. Step 2: Convert to fraction form
    21,365.36/32,047.68 = 7,514/x
  3. Step 3: Cross multiply
    21,365.36x = 32,047.68 × 7,514
  4. Step 4: Simplify right side
    21,365.36x = 240,806,267.52
  5. Step 5: Solve for x
    x = 240,806,267.52/21,365.36
  6. Step 6: Final answer
    x = 11,270.87

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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.