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Finding the Fourth Proportional to 21,390.68, 32,204.93 and 18,533

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Solution

The fourth proportional to 21,390.68, 32,204.93 and 18,533 is: 27,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,390.68 : 32,204.93 = 18,533 : x
  2. Step 2: Convert to fraction form
    21,390.68/32,204.93 = 18,533/x
  3. Step 3: Cross multiply
    21,390.68x = 32,204.93 × 18,533
  4. Step 4: Simplify right side
    21,390.68x = 596,853,967.69
  5. Step 5: Solve for x
    x = 596,853,967.69/21,390.68
  6. Step 6: Final answer
    x = 27,902.52

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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.