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Finding the Fourth Proportional to 11,876.64, 16,391.88 and 7,163.52

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Solution

The fourth proportional to 11,876.64, 16,391.88 and 7,163.52 is: 9,886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.64 : 16,391.88 = 7,163.52 : x
  2. Step 2: Convert to fraction form
    11,876.64/16,391.88 = 7,163.52/x
  3. Step 3: Cross multiply
    11,876.64x = 16,391.88 × 7,163.52
  4. Step 4: Simplify right side
    11,876.64x = 117,423,560.22
  5. Step 5: Solve for x
    x = 117,423,560.22/11,876.64
  6. Step 6: Final answer
    x = 9,886.93

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1.5x scale

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.