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Finding the Fourth Proportional to 2,503.76, 3,753.81 and 2,070

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Solution

The fourth proportional to 2,503.76, 3,753.81 and 2,070 is: 3,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.76 : 3,753.81 = 2,070 : x
  2. Step 2: Convert to fraction form
    2,503.76/3,753.81 = 2,070/x
  3. Step 3: Cross multiply
    2,503.76x = 3,753.81 × 2,070
  4. Step 4: Simplify right side
    2,503.76x = 7,770,386.70
  5. Step 5: Solve for x
    x = 7,770,386.70/2,503.76
  6. Step 6: Final answer
    x = 3,103.49

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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.