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Finding the Fourth Proportional to 7,010.60, 9,644.82 and 6,816.20

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Solution

The fourth proportional to 7,010.60, 9,644.82 and 6,816.20 is: 9,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.60 : 9,644.82 = 6,816.20 : x
  2. Step 2: Convert to fraction form
    7,010.60/9,644.82 = 6,816.20/x
  3. Step 3: Cross multiply
    7,010.60x = 9,644.82 × 6,816.20
  4. Step 4: Simplify right side
    7,010.60x = 65,741,022.08
  5. Step 5: Solve for x
    x = 65,741,022.08/7,010.60
  6. Step 6: Final answer
    x = 9,377.37

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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.