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Finding the Fourth Proportional to 21,391.68, 32,206.44 and 18,534

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Solution

The fourth proportional to 21,391.68, 32,206.44 and 18,534 is: 27,904.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,391.68 : 32,206.44 = 18,534 : x
  2. Step 2: Convert to fraction form
    21,391.68/32,206.44 = 18,534/x
  3. Step 3: Cross multiply
    21,391.68x = 32,206.44 × 18,534
  4. Step 4: Simplify right side
    21,391.68x = 596,914,158.96
  5. Step 5: Solve for x
    x = 596,914,158.96/21,391.68
  6. Step 6: Final answer
    x = 27,904.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.