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Finding the Fourth Proportional to 8,684.42, 11,984.42 and 5,149.31

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Solution

The fourth proportional to 8,684.42, 11,984.42 and 5,149.31 is: 7,106.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.42 : 11,984.42 = 5,149.31 : x
  2. Step 2: Convert to fraction form
    8,684.42/11,984.42 = 5,149.31/x
  3. Step 3: Cross multiply
    8,684.42x = 11,984.42 × 5,149.31
  4. Step 4: Simplify right side
    8,684.42x = 61,711,446.70
  5. Step 5: Solve for x
    x = 61,711,446.70/8,684.42
  6. Step 6: Final answer
    x = 7,106.00

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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.