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Finding the Fourth Proportional to 1,881.12, 2,595.06 and 1,182

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Solution

The fourth proportional to 1,881.12, 2,595.06 and 1,182 is: 1,630.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.12 : 2,595.06 = 1,182 : x
  2. Step 2: Convert to fraction form
    1,881.12/2,595.06 = 1,182/x
  3. Step 3: Cross multiply
    1,881.12x = 2,595.06 × 1,182
  4. Step 4: Simplify right side
    1,881.12x = 3,067,360.92
  5. Step 5: Solve for x
    x = 3,067,360.92/1,881.12
  6. Step 6: Final answer
    x = 1,630.60

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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.