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Finding the Fourth Proportional to 5,687.52, 7,848.76 and 3,203.52

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Solution

The fourth proportional to 5,687.52, 7,848.76 and 3,203.52 is: 4,420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.52 : 7,848.76 = 3,203.52 : x
  2. Step 2: Convert to fraction form
    5,687.52/7,848.76 = 3,203.52/x
  3. Step 3: Cross multiply
    5,687.52x = 7,848.76 × 3,203.52
  4. Step 4: Simplify right side
    5,687.52x = 25,143,659.64
  5. Step 5: Solve for x
    x = 25,143,659.64/5,687.52
  6. Step 6: Final answer
    x = 4,420.85

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1.5x scale

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.