Home / 1,284.16-1,770.10-1,115.68

Finding the Fourth Proportional to 1,284.16, 1,770.10 and 1,115.68

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Solution

The fourth proportional to 1,284.16, 1,770.10 and 1,115.68 is: 1,537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.16 : 1,770.10 = 1,115.68 : x
  2. Step 2: Convert to fraction form
    1,284.16/1,770.10 = 1,115.68/x
  3. Step 3: Cross multiply
    1,284.16x = 1,770.10 × 1,115.68
  4. Step 4: Simplify right side
    1,284.16x = 1,974,865.17
  5. Step 5: Solve for x
    x = 1,974,865.17/1,284.16
  6. Step 6: Final answer
    x = 1,537.87

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1.5x scale

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.