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Finding the Fourth Proportional to 2,833.47, 3,910.12 and 1,574.47

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Solution

The fourth proportional to 2,833.47, 3,910.12 and 1,574.47 is: 2,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.47 : 3,910.12 = 1,574.47 : x
  2. Step 2: Convert to fraction form
    2,833.47/3,910.12 = 1,574.47/x
  3. Step 3: Cross multiply
    2,833.47x = 3,910.12 × 1,574.47
  4. Step 4: Simplify right side
    2,833.47x = 6,156,358.23
  5. Step 5: Solve for x
    x = 6,156,358.23/2,833.47
  6. Step 6: Final answer
    x = 2,172.72

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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.