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Finding the Fourth Proportional to 12,470.96, 17,209.08 and 6,881.20

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Solution

The fourth proportional to 12,470.96, 17,209.08 and 6,881.20 is: 9,495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,470.96 : 17,209.08 = 6,881.20 : x
  2. Step 2: Convert to fraction form
    12,470.96/17,209.08 = 6,881.20/x
  3. Step 3: Cross multiply
    12,470.96x = 17,209.08 × 6,881.20
  4. Step 4: Simplify right side
    12,470.96x = 118,419,121.30
  5. Step 5: Solve for x
    x = 118,419,121.30/12,470.96
  6. Step 6: Final answer
    x = 9,495.59

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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.