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Finding the Fourth Proportional to 7,010.32, 9,665.64 and 5,679.12

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Solution

The fourth proportional to 7,010.32, 9,665.64 and 5,679.12 is: 7,830.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.32 : 9,665.64 = 5,679.12 : x
  2. Step 2: Convert to fraction form
    7,010.32/9,665.64 = 5,679.12/x
  3. Step 3: Cross multiply
    7,010.32x = 9,665.64 × 5,679.12
  4. Step 4: Simplify right side
    7,010.32x = 54,892,329.44
  5. Step 5: Solve for x
    x = 54,892,329.44/7,010.32
  6. Step 6: Final answer
    x = 7,830.22

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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.