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Finding the Fourth Proportional to 21,451.96, 32,173 and 5,870.80

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Solution

The fourth proportional to 21,451.96, 32,173 and 5,870.80 is: 8,804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,451.96 : 32,173 = 5,870.80 : x
  2. Step 2: Convert to fraction form
    21,451.96/32,173 = 5,870.80/x
  3. Step 3: Cross multiply
    21,451.96x = 32,173 × 5,870.80
  4. Step 4: Simplify right side
    21,451.96x = 188,881,248.40
  5. Step 5: Solve for x
    x = 188,881,248.40/21,451.96
  6. Step 6: Final answer
    x = 8,804.85

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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.