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Finding the Fourth Proportional to 7,028.64, 9,637.92 and 6,781.32

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Solution

The fourth proportional to 7,028.64, 9,637.92 and 6,781.32 is: 9,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.64 : 9,637.92 = 6,781.32 : x
  2. Step 2: Convert to fraction form
    7,028.64/9,637.92 = 6,781.32/x
  3. Step 3: Cross multiply
    7,028.64x = 9,637.92 × 6,781.32
  4. Step 4: Simplify right side
    7,028.64x = 65,357,819.65
  5. Step 5: Solve for x
    x = 65,357,819.65/7,028.64
  6. Step 6: Final answer
    x = 9,298.79

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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.