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Finding the Fourth Proportional to 16,978.59, 25,477.80 and 7,117.11

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Solution

The fourth proportional to 16,978.59, 25,477.80 and 7,117.11 is: 10,679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,978.59 : 25,477.80 = 7,117.11 : x
  2. Step 2: Convert to fraction form
    16,978.59/25,477.80 = 7,117.11/x
  3. Step 3: Cross multiply
    16,978.59x = 25,477.80 × 7,117.11
  4. Step 4: Simplify right side
    16,978.59x = 181,328,305.16
  5. Step 5: Solve for x
    x = 181,328,305.16/16,978.59
  6. Step 6: Final answer
    x = 10,679.82

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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.