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Finding the Fourth Proportional to 21,528, 32,304.96 and 9,216

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Solution

The fourth proportional to 21,528, 32,304.96 and 9,216 is: 13,829.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,528 : 32,304.96 = 9,216 : x
  2. Step 2: Convert to fraction form
    21,528/32,304.96 = 9,216/x
  3. Step 3: Cross multiply
    21,528x = 32,304.96 × 9,216
  4. Step 4: Simplify right side
    21,528x = 297,722,511.36
  5. Step 5: Solve for x
    x = 297,722,511.36/21,528
  6. Step 6: Final answer
    x = 13,829.55

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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.