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Finding the Fourth Proportional to 1,447.50, 2,171.62 and 421.50

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Solution

The fourth proportional to 1,447.50, 2,171.62 and 421.50 is: 632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.50 : 2,171.62 = 421.50 : x
  2. Step 2: Convert to fraction form
    1,447.50/2,171.62 = 421.50/x
  3. Step 3: Cross multiply
    1,447.50x = 2,171.62 × 421.50
  4. Step 4: Simplify right side
    1,447.50x = 915,337.83
  5. Step 5: Solve for x
    x = 915,337.83/1,447.50
  6. Step 6: Final answer
    x = 632.36

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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.