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Finding the Fourth Proportional to 2,702.40, 3,730.72 and 2,073

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Solution

The fourth proportional to 2,702.40, 3,730.72 and 2,073 is: 2,861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.40 : 3,730.72 = 2,073 : x
  2. Step 2: Convert to fraction form
    2,702.40/3,730.72 = 2,073/x
  3. Step 3: Cross multiply
    2,702.40x = 3,730.72 × 2,073
  4. Step 4: Simplify right side
    2,702.40x = 7,733,782.56
  5. Step 5: Solve for x
    x = 7,733,782.56/2,702.40
  6. Step 6: Final answer
    x = 2,861.82

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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.