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Finding the Fourth Proportional to 2,649.64, 3,663 and 2,624.72

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Solution

The fourth proportional to 2,649.64, 3,663 and 2,624.72 is: 3,628.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.64 : 3,663 = 2,624.72 : x
  2. Step 2: Convert to fraction form
    2,649.64/3,663 = 2,624.72/x
  3. Step 3: Cross multiply
    2,649.64x = 3,663 × 2,624.72
  4. Step 4: Simplify right side
    2,649.64x = 9,614,349.36
  5. Step 5: Solve for x
    x = 9,614,349.36/2,649.64
  6. Step 6: Final answer
    x = 3,628.55

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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.