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Finding the Fourth Proportional to 2,649.56, 3,658.16 and 1,656.24

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Solution

The fourth proportional to 2,649.56, 3,658.16 and 1,656.24 is: 2,286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.56 : 3,658.16 = 1,656.24 : x
  2. Step 2: Convert to fraction form
    2,649.56/3,658.16 = 1,656.24/x
  3. Step 3: Cross multiply
    2,649.56x = 3,658.16 × 1,656.24
  4. Step 4: Simplify right side
    2,649.56x = 6,058,790.92
  5. Step 5: Solve for x
    x = 6,058,790.92/2,649.56
  6. Step 6: Final answer
    x = 2,286.72

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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.