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Finding the Fourth Proportional to 7,917.85, 11,856.17 and 7,684.07

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Solution

The fourth proportional to 7,917.85, 11,856.17 and 7,684.07 is: 11,506.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917.85 : 11,856.17 = 7,684.07 : x
  2. Step 2: Convert to fraction form
    7,917.85/11,856.17 = 7,684.07/x
  3. Step 3: Cross multiply
    7,917.85x = 11,856.17 × 7,684.07
  4. Step 4: Simplify right side
    7,917.85x = 91,103,600.14
  5. Step 5: Solve for x
    x = 91,103,600.14/7,917.85
  6. Step 6: Final answer
    x = 11,506.10

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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.