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Finding the Fourth Proportional to 21,952, 32,928.36 and 6,371.20

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Solution

The fourth proportional to 21,952, 32,928.36 and 6,371.20 is: 9,556.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,952 : 32,928.36 = 6,371.20 : x
  2. Step 2: Convert to fraction form
    21,952/32,928.36 = 6,371.20/x
  3. Step 3: Cross multiply
    21,952x = 32,928.36 × 6,371.20
  4. Step 4: Simplify right side
    21,952x = 209,793,167.23
  5. Step 5: Solve for x
    x = 209,793,167.23/21,952
  6. Step 6: Final answer
    x = 9,556.90

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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.