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Finding the Fourth Proportional to 3,590.36, 5,387.98 and 1,947.40

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Solution

The fourth proportional to 3,590.36, 5,387.98 and 1,947.40 is: 2,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.36 : 5,387.98 = 1,947.40 : x
  2. Step 2: Convert to fraction form
    3,590.36/5,387.98 = 1,947.40/x
  3. Step 3: Cross multiply
    3,590.36x = 5,387.98 × 1,947.40
  4. Step 4: Simplify right side
    3,590.36x = 10,492,552.25
  5. Step 5: Solve for x
    x = 10,492,552.25/3,590.36
  6. Step 6: Final answer
    x = 2,922.42

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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.