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Finding the Fourth Proportional to 2,726.85, 3,763.05 and 1,531.67

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Solution

The fourth proportional to 2,726.85, 3,763.05 and 1,531.67 is: 2,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.85 : 3,763.05 = 1,531.67 : x
  2. Step 2: Convert to fraction form
    2,726.85/3,763.05 = 1,531.67/x
  3. Step 3: Cross multiply
    2,726.85x = 3,763.05 × 1,531.67
  4. Step 4: Simplify right side
    2,726.85x = 5,763,731.98
  5. Step 5: Solve for x
    x = 5,763,731.98/2,726.85
  6. Step 6: Final answer
    x = 2,113.70

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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.