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Finding the Fourth Proportional to 3,117, 4,301.46 and 2,290.44

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Solution

The fourth proportional to 3,117, 4,301.46 and 2,290.44 is: 3,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117 : 4,301.46 = 2,290.44 : x
  2. Step 2: Convert to fraction form
    3,117/4,301.46 = 2,290.44/x
  3. Step 3: Cross multiply
    3,117x = 4,301.46 × 2,290.44
  4. Step 4: Simplify right side
    3,117x = 9,852,236.04
  5. Step 5: Solve for x
    x = 9,852,236.04/3,117
  6. Step 6: Final answer
    x = 3,160.81

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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.