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Finding the Fourth Proportional to 8,191.71, 12,289.17 and 2,646.45

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Solution

The fourth proportional to 8,191.71, 12,289.17 and 2,646.45 is: 3,970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.71 : 12,289.17 = 2,646.45 : x
  2. Step 2: Convert to fraction form
    8,191.71/12,289.17 = 2,646.45/x
  3. Step 3: Cross multiply
    8,191.71x = 12,289.17 × 2,646.45
  4. Step 4: Simplify right side
    8,191.71x = 32,522,673.95
  5. Step 5: Solve for x
    x = 32,522,673.95/8,191.71
  6. Step 6: Final answer
    x = 3,970.19

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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.