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Finding the Fourth Proportional to 21,916.88, 32,876.53 and 9,442.47

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Solution

The fourth proportional to 21,916.88, 32,876.53 and 9,442.47 is: 14,164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,916.88 : 32,876.53 = 9,442.47 : x
  2. Step 2: Convert to fraction form
    21,916.88/32,876.53 = 9,442.47/x
  3. Step 3: Cross multiply
    21,916.88x = 32,876.53 × 9,442.47
  4. Step 4: Simplify right side
    21,916.88x = 310,435,801.02
  5. Step 5: Solve for x
    x = 310,435,801.02/21,916.88
  6. Step 6: Final answer
    x = 14,164.23

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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.