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Finding the Fourth Proportional to 6,652.40, 9,963.49 and 5,159.64

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Solution

The fourth proportional to 6,652.40, 9,963.49 and 5,159.64 is: 7,727.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.40 : 9,963.49 = 5,159.64 : x
  2. Step 2: Convert to fraction form
    6,652.40/9,963.49 = 5,159.64/x
  3. Step 3: Cross multiply
    6,652.40x = 9,963.49 × 5,159.64
  4. Step 4: Simplify right side
    6,652.40x = 51,407,971.73
  5. Step 5: Solve for x
    x = 51,407,971.73/6,652.40
  6. Step 6: Final answer
    x = 7,727.74

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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.