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Finding the Fourth Proportional to 6,489.32, 9,728.51 and 3,857.63

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Solution

The fourth proportional to 6,489.32, 9,728.51 and 3,857.63 is: 5,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.32 : 9,728.51 = 3,857.63 : x
  2. Step 2: Convert to fraction form
    6,489.32/9,728.51 = 3,857.63/x
  3. Step 3: Cross multiply
    6,489.32x = 9,728.51 × 3,857.63
  4. Step 4: Simplify right side
    6,489.32x = 37,528,924.10
  5. Step 5: Solve for x
    x = 37,528,924.10/6,489.32
  6. Step 6: Final answer
    x = 5,783.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.