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Finding the Fourth Proportional to 8,310.17, 12,435.99 and 5,191.65

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Solution

The fourth proportional to 8,310.17, 12,435.99 and 5,191.65 is: 7,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.17 : 12,435.99 = 5,191.65 : x
  2. Step 2: Convert to fraction form
    8,310.17/12,435.99 = 5,191.65/x
  3. Step 3: Cross multiply
    8,310.17x = 12,435.99 × 5,191.65
  4. Step 4: Simplify right side
    8,310.17x = 64,563,307.48
  5. Step 5: Solve for x
    x = 64,563,307.48/8,310.17
  6. Step 6: Final answer
    x = 7,769.19

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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.