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Finding the Fourth Proportional to 7,982.70, 11,016.13 and 4,445.91

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Solution

The fourth proportional to 7,982.70, 11,016.13 and 4,445.91 is: 6,135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.70 : 11,016.13 = 4,445.91 : x
  2. Step 2: Convert to fraction form
    7,982.70/11,016.13 = 4,445.91/x
  3. Step 3: Cross multiply
    7,982.70x = 11,016.13 × 4,445.91
  4. Step 4: Simplify right side
    7,982.70x = 48,976,744.51
  5. Step 5: Solve for x
    x = 48,976,744.51/7,982.70
  6. Step 6: Final answer
    x = 6,135.36

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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.