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Finding the Fourth Proportional to 21,862.84, 32,799.12 and 6,279.28

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Solution

The fourth proportional to 21,862.84, 32,799.12 and 6,279.28 is: 9,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,862.84 : 32,799.12 = 6,279.28 : x
  2. Step 2: Convert to fraction form
    21,862.84/32,799.12 = 6,279.28/x
  3. Step 3: Cross multiply
    21,862.84x = 32,799.12 × 6,279.28
  4. Step 4: Simplify right side
    21,862.84x = 205,954,858.23
  5. Step 5: Solve for x
    x = 205,954,858.23/21,862.84
  6. Step 6: Final answer
    x = 9,420.32

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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.