Home / 1,746.30-2,411.24-1,149.20

Finding the Fourth Proportional to 1,746.30, 2,411.24 and 1,149.20

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Solution

The fourth proportional to 1,746.30, 2,411.24 and 1,149.20 is: 1,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.30 : 2,411.24 = 1,149.20 : x
  2. Step 2: Convert to fraction form
    1,746.30/2,411.24 = 1,149.20/x
  3. Step 3: Cross multiply
    1,746.30x = 2,411.24 × 1,149.20
  4. Step 4: Simplify right side
    1,746.30x = 2,770,979.21
  5. Step 5: Solve for x
    x = 2,770,979.21/1,746.30
  6. Step 6: Final answer
    x = 1,586.77

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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.