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Finding the Fourth Proportional to 2,705.52, 4,062.70 and 2,503.40

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Solution

The fourth proportional to 2,705.52, 4,062.70 and 2,503.40 is: 3,759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.52 : 4,062.70 = 2,503.40 : x
  2. Step 2: Convert to fraction form
    2,705.52/4,062.70 = 2,503.40/x
  3. Step 3: Cross multiply
    2,705.52x = 4,062.70 × 2,503.40
  4. Step 4: Simplify right side
    2,705.52x = 10,170,563.18
  5. Step 5: Solve for x
    x = 10,170,563.18/2,705.52
  6. Step 6: Final answer
    x = 3,759.19

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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.