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Finding the Fourth Proportional to 1,854.45, 2,559.13 and 1,191.56

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Solution

The fourth proportional to 1,854.45, 2,559.13 and 1,191.56 is: 1,644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.45 : 2,559.13 = 1,191.56 : x
  2. Step 2: Convert to fraction form
    1,854.45/2,559.13 = 1,191.56/x
  3. Step 3: Cross multiply
    1,854.45x = 2,559.13 × 1,191.56
  4. Step 4: Simplify right side
    1,854.45x = 3,049,341.17
  5. Step 5: Solve for x
    x = 3,049,341.17/1,854.45
  6. Step 6: Final answer
    x = 1,644.34

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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.