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Finding the Fourth Proportional to 7,010.64, 9,616.64 and 6,864.80

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Solution

The fourth proportional to 7,010.64, 9,616.64 and 6,864.80 is: 9,416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.64 : 9,616.64 = 6,864.80 : x
  2. Step 2: Convert to fraction form
    7,010.64/9,616.64 = 6,864.80/x
  3. Step 3: Cross multiply
    7,010.64x = 9,616.64 × 6,864.80
  4. Step 4: Simplify right side
    7,010.64x = 66,016,310.27
  5. Step 5: Solve for x
    x = 66,016,310.27/7,010.64
  6. Step 6: Final answer
    x = 9,416.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.