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Finding the Fourth Proportional to 2,751.57, 4,121 and 1,653.52

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Solution

The fourth proportional to 2,751.57, 4,121 and 1,653.52 is: 2,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.57 : 4,121 = 1,653.52 : x
  2. Step 2: Convert to fraction form
    2,751.57/4,121 = 1,653.52/x
  3. Step 3: Cross multiply
    2,751.57x = 4,121 × 1,653.52
  4. Step 4: Simplify right side
    2,751.57x = 6,814,155.92
  5. Step 5: Solve for x
    x = 6,814,155.92/2,751.57
  6. Step 6: Final answer
    x = 2,476.46

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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.