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Finding the Fourth Proportional to 21,957.69, 32,938.01 and 7,724.46

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Solution

The fourth proportional to 21,957.69, 32,938.01 and 7,724.46 is: 11,587.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,957.69 : 32,938.01 = 7,724.46 : x
  2. Step 2: Convert to fraction form
    21,957.69/32,938.01 = 7,724.46/x
  3. Step 3: Cross multiply
    21,957.69x = 32,938.01 × 7,724.46
  4. Step 4: Simplify right side
    21,957.69x = 254,428,302.10
  5. Step 5: Solve for x
    x = 254,428,302.10/21,957.69
  6. Step 6: Final answer
    x = 11,587.21

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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.