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Finding the Fourth Proportional to 21,049.16, 29,048 and 11,489.12

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Solution

The fourth proportional to 21,049.16, 29,048 and 11,489.12 is: 15,855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,049.16 : 29,048 = 11,489.12 : x
  2. Step 2: Convert to fraction form
    21,049.16/29,048 = 11,489.12/x
  3. Step 3: Cross multiply
    21,049.16x = 29,048 × 11,489.12
  4. Step 4: Simplify right side
    21,049.16x = 333,735,957.76
  5. Step 5: Solve for x
    x = 333,735,957.76/21,049.16
  6. Step 6: Final answer
    x = 15,855.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.