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Finding the Fourth Proportional to 2,674.78, 3,689.24 and 1,931.20

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Solution

The fourth proportional to 2,674.78, 3,689.24 and 1,931.20 is: 2,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.78 : 3,689.24 = 1,931.20 : x
  2. Step 2: Convert to fraction form
    2,674.78/3,689.24 = 1,931.20/x
  3. Step 3: Cross multiply
    2,674.78x = 3,689.24 × 1,931.20
  4. Step 4: Simplify right side
    2,674.78x = 7,124,660.29
  5. Step 5: Solve for x
    x = 7,124,660.29/2,674.78
  6. Step 6: Final answer
    x = 2,663.64

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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.