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Finding the Fourth Proportional to 5,415.54, 7,475.13 and 3,649.74

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Solution

The fourth proportional to 5,415.54, 7,475.13 and 3,649.74 is: 5,037.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.54 : 7,475.13 = 3,649.74 : x
  2. Step 2: Convert to fraction form
    5,415.54/7,475.13 = 3,649.74/x
  3. Step 3: Cross multiply
    5,415.54x = 7,475.13 × 3,649.74
  4. Step 4: Simplify right side
    5,415.54x = 27,282,280.97
  5. Step 5: Solve for x
    x = 27,282,280.97/5,415.54
  6. Step 6: Final answer
    x = 5,037.78

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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.