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Finding the Fourth Proportional to 16,714, 25,078.14 and 8,389.72

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Solution

The fourth proportional to 16,714, 25,078.14 and 8,389.72 is: 12,588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714 : 25,078.14 = 8,389.72 : x
  2. Step 2: Convert to fraction form
    16,714/25,078.14 = 8,389.72/x
  3. Step 3: Cross multiply
    16,714x = 25,078.14 × 8,389.72
  4. Step 4: Simplify right side
    16,714x = 210,398,572.72
  5. Step 5: Solve for x
    x = 210,398,572.72/16,714
  6. Step 6: Final answer
    x = 12,588.16

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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.