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Finding the Fourth Proportional to 2,574, 3,863.52 and 1,602

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Solution

The fourth proportional to 2,574, 3,863.52 and 1,602 is: 2,404.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574 : 3,863.52 = 1,602 : x
  2. Step 2: Convert to fraction form
    2,574/3,863.52 = 1,602/x
  3. Step 3: Cross multiply
    2,574x = 3,863.52 × 1,602
  4. Step 4: Simplify right side
    2,574x = 6,189,359.04
  5. Step 5: Solve for x
    x = 6,189,359.04/2,574
  6. Step 6: Final answer
    x = 2,404.57

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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.