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Finding the Fourth Proportional to 2,671.16, 4,006.97 and 916.10

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Solution

The fourth proportional to 2,671.16, 4,006.97 and 916.10 is: 1,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.16 : 4,006.97 = 916.10 : x
  2. Step 2: Convert to fraction form
    2,671.16/4,006.97 = 916.10/x
  3. Step 3: Cross multiply
    2,671.16x = 4,006.97 × 916.10
  4. Step 4: Simplify right side
    2,671.16x = 3,670,785.22
  5. Step 5: Solve for x
    x = 3,670,785.22/2,671.16
  6. Step 6: Final answer
    x = 1,374.23

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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.