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Finding the Fourth Proportional to 1,746.04, 2,614.96 and 819.61

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Solution

The fourth proportional to 1,746.04, 2,614.96 and 819.61 is: 1,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.04 : 2,614.96 = 819.61 : x
  2. Step 2: Convert to fraction form
    1,746.04/2,614.96 = 819.61/x
  3. Step 3: Cross multiply
    1,746.04x = 2,614.96 × 819.61
  4. Step 4: Simplify right side
    1,746.04x = 2,143,247.37
  5. Step 5: Solve for x
    x = 2,143,247.37/1,746.04
  6. Step 6: Final answer
    x = 1,227.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.