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Finding the Fourth Proportional to 1,866.76, 2,576.70 and 1,081.12

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Solution

The fourth proportional to 1,866.76, 2,576.70 and 1,081.12 is: 1,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.76 : 2,576.70 = 1,081.12 : x
  2. Step 2: Convert to fraction form
    1,866.76/2,576.70 = 1,081.12/x
  3. Step 3: Cross multiply
    1,866.76x = 2,576.70 × 1,081.12
  4. Step 4: Simplify right side
    1,866.76x = 2,785,721.90
  5. Step 5: Solve for x
    x = 2,785,721.90/1,866.76
  6. Step 6: Final answer
    x = 1,492.28

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Half scale
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Double scale
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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.