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Finding the Fourth Proportional to 2,509.52, 3,463.36 and 1,578

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Solution

The fourth proportional to 2,509.52, 3,463.36 and 1,578 is: 2,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.52 : 3,463.36 = 1,578 : x
  2. Step 2: Convert to fraction form
    2,509.52/3,463.36 = 1,578/x
  3. Step 3: Cross multiply
    2,509.52x = 3,463.36 × 1,578
  4. Step 4: Simplify right side
    2,509.52x = 5,465,182.08
  5. Step 5: Solve for x
    x = 5,465,182.08/2,509.52
  6. Step 6: Final answer
    x = 2,177.78

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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.