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Finding the Fourth Proportional to 1,785.71, 2,673.38 and 1,348.76

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Solution

The fourth proportional to 1,785.71, 2,673.38 and 1,348.76 is: 2,019.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.71 : 2,673.38 = 1,348.76 : x
  2. Step 2: Convert to fraction form
    1,785.71/2,673.38 = 1,348.76/x
  3. Step 3: Cross multiply
    1,785.71x = 2,673.38 × 1,348.76
  4. Step 4: Simplify right side
    1,785.71x = 3,605,758.06
  5. Step 5: Solve for x
    x = 3,605,758.06/1,785.71
  6. Step 6: Final answer
    x = 2,019.23

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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.