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Finding the Fourth Proportional to 7,540.52, 10,405.92 and 4,228.52

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Solution

The fourth proportional to 7,540.52, 10,405.92 and 4,228.52 is: 5,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.52 : 10,405.92 = 4,228.52 : x
  2. Step 2: Convert to fraction form
    7,540.52/10,405.92 = 4,228.52/x
  3. Step 3: Cross multiply
    7,540.52x = 10,405.92 × 4,228.52
  4. Step 4: Simplify right side
    7,540.52x = 44,001,640.84
  5. Step 5: Solve for x
    x = 44,001,640.84/7,540.52
  6. Step 6: Final answer
    x = 5,835.36

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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.