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Finding the Fourth Proportional to 11,701.71, 16,148.67 and 6,988.71

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Solution

The fourth proportional to 11,701.71, 16,148.67 and 6,988.71 is: 9,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.71 : 16,148.67 = 6,988.71 : x
  2. Step 2: Convert to fraction form
    11,701.71/16,148.67 = 6,988.71/x
  3. Step 3: Cross multiply
    11,701.71x = 16,148.67 × 6,988.71
  4. Step 4: Simplify right side
    11,701.71x = 112,858,371.52
  5. Step 5: Solve for x
    x = 112,858,371.52/11,701.71
  6. Step 6: Final answer
    x = 9,644.61

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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.