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Finding the Fourth Proportional to 21,658.84, 32,468.92 and 11,669.02

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Solution

The fourth proportional to 21,658.84, 32,468.92 and 11,669.02 is: 17,493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.84 : 32,468.92 = 11,669.02 : x
  2. Step 2: Convert to fraction form
    21,658.84/32,468.92 = 11,669.02/x
  3. Step 3: Cross multiply
    21,658.84x = 32,468.92 × 11,669.02
  4. Step 4: Simplify right side
    21,658.84x = 378,880,366.51
  5. Step 5: Solve for x
    x = 378,880,366.51/21,658.84
  6. Step 6: Final answer
    x = 17,493.11

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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.