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Finding the Fourth Proportional to 3,110.68, 4,291.68 and 2,114.24

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Solution

The fourth proportional to 3,110.68, 4,291.68 and 2,114.24 is: 2,916.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.68 : 4,291.68 = 2,114.24 : x
  2. Step 2: Convert to fraction form
    3,110.68/4,291.68 = 2,114.24/x
  3. Step 3: Cross multiply
    3,110.68x = 4,291.68 × 2,114.24
  4. Step 4: Simplify right side
    3,110.68x = 9,073,641.52
  5. Step 5: Solve for x
    x = 9,073,641.52/3,110.68
  6. Step 6: Final answer
    x = 2,916.93

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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.