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Finding the Fourth Proportional to 3,262.56, 4,502.40 and 1,865.40

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Solution

The fourth proportional to 3,262.56, 4,502.40 and 1,865.40 is: 2,574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.56 : 4,502.40 = 1,865.40 : x
  2. Step 2: Convert to fraction form
    3,262.56/4,502.40 = 1,865.40/x
  3. Step 3: Cross multiply
    3,262.56x = 4,502.40 × 1,865.40
  4. Step 4: Simplify right side
    3,262.56x = 8,398,776.96
  5. Step 5: Solve for x
    x = 8,398,776.96/3,262.56
  6. Step 6: Final answer
    x = 2,574.29

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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.