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Finding the Fourth Proportional to 21,618.72, 32,434.08 and 6,827.28

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Solution

The fourth proportional to 21,618.72, 32,434.08 and 6,827.28 is: 10,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,618.72 : 32,434.08 = 6,827.28 : x
  2. Step 2: Convert to fraction form
    21,618.72/32,434.08 = 6,827.28/x
  3. Step 3: Cross multiply
    21,618.72x = 32,434.08 × 6,827.28
  4. Step 4: Simplify right side
    21,618.72x = 221,436,545.70
  5. Step 5: Solve for x
    x = 221,436,545.70/21,618.72
  6. Step 6: Final answer
    x = 10,242.81

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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.