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Finding the Fourth Proportional to 11,701.87, 17,564.95 and 6,781.12

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Solution

The fourth proportional to 11,701.87, 17,564.95 and 6,781.12 is: 10,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.87 : 17,564.95 = 6,781.12 : x
  2. Step 2: Convert to fraction form
    11,701.87/17,564.95 = 6,781.12/x
  3. Step 3: Cross multiply
    11,701.87x = 17,564.95 × 6,781.12
  4. Step 4: Simplify right side
    11,701.87x = 119,110,033.74
  5. Step 5: Solve for x
    x = 119,110,033.74/11,701.87
  6. Step 6: Final answer
    x = 10,178.72

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1.5x scale

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.