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Finding the Fourth Proportional to 1,785.17, 2,676.33 and 810.15

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Solution

The fourth proportional to 1,785.17, 2,676.33 and 810.15 is: 1,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.17 : 2,676.33 = 810.15 : x
  2. Step 2: Convert to fraction form
    1,785.17/2,676.33 = 810.15/x
  3. Step 3: Cross multiply
    1,785.17x = 2,676.33 × 810.15
  4. Step 4: Simplify right side
    1,785.17x = 2,168,228.75
  5. Step 5: Solve for x
    x = 2,168,228.75/1,785.17
  6. Step 6: Final answer
    x = 1,214.58

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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.