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Finding the Fourth Proportional to 21,772.80, 32,646.42 and 6,974.10

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Solution

The fourth proportional to 21,772.80, 32,646.42 and 6,974.10 is: 10,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,772.80 : 32,646.42 = 6,974.10 : x
  2. Step 2: Convert to fraction form
    21,772.80/32,646.42 = 6,974.10/x
  3. Step 3: Cross multiply
    21,772.80x = 32,646.42 × 6,974.10
  4. Step 4: Simplify right side
    21,772.80x = 227,679,397.72
  5. Step 5: Solve for x
    x = 227,679,397.72/21,772.80
  6. Step 6: Final answer
    x = 10,457.06

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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.