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Finding the Fourth Proportional to 2,833.68, 3,910.16 and 1,574.72

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Solution

The fourth proportional to 2,833.68, 3,910.16 and 1,574.72 is: 2,172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.68 : 3,910.16 = 1,574.72 : x
  2. Step 2: Convert to fraction form
    2,833.68/3,910.16 = 1,574.72/x
  3. Step 3: Cross multiply
    2,833.68x = 3,910.16 × 1,574.72
  4. Step 4: Simplify right side
    2,833.68x = 6,157,407.16
  5. Step 5: Solve for x
    x = 6,157,407.16/2,833.68
  6. Step 6: Final answer
    x = 2,172.94

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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.