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Finding the Fourth Proportional to 15,414, 21,271.32 and 8,790

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Solution

The fourth proportional to 15,414, 21,271.32 and 8,790 is: 12,130.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,414 : 21,271.32 = 8,790 : x
  2. Step 2: Convert to fraction form
    15,414/21,271.32 = 8,790/x
  3. Step 3: Cross multiply
    15,414x = 21,271.32 × 8,790
  4. Step 4: Simplify right side
    15,414x = 186,974,902.80
  5. Step 5: Solve for x
    x = 186,974,902.80/15,414
  6. Step 6: Final answer
    x = 12,130.20

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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.