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Finding the Fourth Proportional to 1,854.80, 2,547.07 and 1,559.57

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Solution

The fourth proportional to 1,854.80, 2,547.07 and 1,559.57 is: 2,141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.80 : 2,547.07 = 1,559.57 : x
  2. Step 2: Convert to fraction form
    1,854.80/2,547.07 = 1,559.57/x
  3. Step 3: Cross multiply
    1,854.80x = 2,547.07 × 1,559.57
  4. Step 4: Simplify right side
    1,854.80x = 3,972,333.96
  5. Step 5: Solve for x
    x = 3,972,333.96/1,854.80
  6. Step 6: Final answer
    x = 2,141.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.