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Finding the Fourth Proportional to 8,411.85, 11,595.68 and 6,917.18

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Solution

The fourth proportional to 8,411.85, 11,595.68 and 6,917.18 is: 9,535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.85 : 11,595.68 = 6,917.18 : x
  2. Step 2: Convert to fraction form
    8,411.85/11,595.68 = 6,917.18/x
  3. Step 3: Cross multiply
    8,411.85x = 11,595.68 × 6,917.18
  4. Step 4: Simplify right side
    8,411.85x = 80,209,313.22
  5. Step 5: Solve for x
    x = 80,209,313.22/8,411.85
  6. Step 6: Final answer
    x = 9,535.28

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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.