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Finding the Fourth Proportional to 3,145, 4,340.12 and 1,747.76

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Solution

The fourth proportional to 3,145, 4,340.12 and 1,747.76 is: 2,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145 : 4,340.12 = 1,747.76 : x
  2. Step 2: Convert to fraction form
    3,145/4,340.12 = 1,747.76/x
  3. Step 3: Cross multiply
    3,145x = 4,340.12 × 1,747.76
  4. Step 4: Simplify right side
    3,145x = 7,585,488.13
  5. Step 5: Solve for x
    x = 7,585,488.13/3,145
  6. Step 6: Final answer
    x = 2,411.92

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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.