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Finding the Fourth Proportional to 21,870.50, 32,805.75 and 5,454.50

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Solution

The fourth proportional to 21,870.50, 32,805.75 and 5,454.50 is: 8,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,870.50 : 32,805.75 = 5,454.50 : x
  2. Step 2: Convert to fraction form
    21,870.50/32,805.75 = 5,454.50/x
  3. Step 3: Cross multiply
    21,870.50x = 32,805.75 × 5,454.50
  4. Step 4: Simplify right side
    21,870.50x = 178,938,963.38
  5. Step 5: Solve for x
    x = 178,938,963.38/21,870.50
  6. Step 6: Final answer
    x = 8,181.75

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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.