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Finding the Fourth Proportional to 2,607.52, 3,908 and 1,145.12

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Solution

The fourth proportional to 2,607.52, 3,908 and 1,145.12 is: 1,716.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.52 : 3,908 = 1,145.12 : x
  2. Step 2: Convert to fraction form
    2,607.52/3,908 = 1,145.12/x
  3. Step 3: Cross multiply
    2,607.52x = 3,908 × 1,145.12
  4. Step 4: Simplify right side
    2,607.52x = 4,475,128.96
  5. Step 5: Solve for x
    x = 4,475,128.96/2,607.52
  6. Step 6: Final answer
    x = 1,716.24

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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.