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Finding the Fourth Proportional to 16,689.60, 25,047 and 11,412

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Solution

The fourth proportional to 16,689.60, 25,047 and 11,412 is: 17,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,689.60 : 25,047 = 11,412 : x
  2. Step 2: Convert to fraction form
    16,689.60/25,047 = 11,412/x
  3. Step 3: Cross multiply
    16,689.60x = 25,047 × 11,412
  4. Step 4: Simplify right side
    16,689.60x = 285,836,364
  5. Step 5: Solve for x
    x = 285,836,364/16,689.60
  6. Step 6: Final answer
    x = 17,126.62

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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.