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Finding the Fourth Proportional to 21,617.84, 32,428.47 and 6,827.90

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Solution

The fourth proportional to 21,617.84, 32,428.47 and 6,827.90 is: 10,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,617.84 : 32,428.47 = 6,827.90 : x
  2. Step 2: Convert to fraction form
    21,617.84/32,428.47 = 6,827.90/x
  3. Step 3: Cross multiply
    21,617.84x = 32,428.47 × 6,827.90
  4. Step 4: Simplify right side
    21,617.84x = 221,418,350.31
  5. Step 5: Solve for x
    x = 221,418,350.31/21,617.84
  6. Step 6: Final answer
    x = 10,242.39

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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.