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Finding the Fourth Proportional to 6,659.16, 9,986.40 and 2,275.56

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Solution

The fourth proportional to 6,659.16, 9,986.40 and 2,275.56 is: 3,412.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.16 : 9,986.40 = 2,275.56 : x
  2. Step 2: Convert to fraction form
    6,659.16/9,986.40 = 2,275.56/x
  3. Step 3: Cross multiply
    6,659.16x = 9,986.40 × 2,275.56
  4. Step 4: Simplify right side
    6,659.16x = 22,724,652.38
  5. Step 5: Solve for x
    x = 22,724,652.38/6,659.16
  6. Step 6: Final answer
    x = 3,412.54

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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.