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Finding the Fourth Proportional to 1,886.16, 2,826.17 and 960.45

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Solution

The fourth proportional to 1,886.16, 2,826.17 and 960.45 is: 1,439.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.16 : 2,826.17 = 960.45 : x
  2. Step 2: Convert to fraction form
    1,886.16/2,826.17 = 960.45/x
  3. Step 3: Cross multiply
    1,886.16x = 2,826.17 × 960.45
  4. Step 4: Simplify right side
    1,886.16x = 2,714,390.17
  5. Step 5: Solve for x
    x = 2,714,390.17/1,886.16
  6. Step 6: Final answer
    x = 1,439.11

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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.