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Finding the Fourth Proportional to 2,649.22, 3,971.39 and 916.63

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Solution

The fourth proportional to 2,649.22, 3,971.39 and 916.63 is: 1,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.22 : 3,971.39 = 916.63 : x
  2. Step 2: Convert to fraction form
    2,649.22/3,971.39 = 916.63/x
  3. Step 3: Cross multiply
    2,649.22x = 3,971.39 × 916.63
  4. Step 4: Simplify right side
    2,649.22x = 3,640,295.22
  5. Step 5: Solve for x
    x = 3,640,295.22/2,649.22
  6. Step 6: Final answer
    x = 1,374.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.