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Finding the Fourth Proportional to 11,646.95, 17,458.11 and 7,939.98

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Solution

The fourth proportional to 11,646.95, 17,458.11 and 7,939.98 is: 11,901.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.95 : 17,458.11 = 7,939.98 : x
  2. Step 2: Convert to fraction form
    11,646.95/17,458.11 = 7,939.98/x
  3. Step 3: Cross multiply
    11,646.95x = 17,458.11 × 7,939.98
  4. Step 4: Simplify right side
    11,646.95x = 138,617,044.24
  5. Step 5: Solve for x
    x = 138,617,044.24/11,646.95
  6. Step 6: Final answer
    x = 11,901.58

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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.