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Finding the Fourth Proportional to 2,460.76, 3,690.87 and 729.34

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Solution

The fourth proportional to 2,460.76, 3,690.87 and 729.34 is: 1,093.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.76 : 3,690.87 = 729.34 : x
  2. Step 2: Convert to fraction form
    2,460.76/3,690.87 = 729.34/x
  3. Step 3: Cross multiply
    2,460.76x = 3,690.87 × 729.34
  4. Step 4: Simplify right side
    2,460.76x = 2,691,899.13
  5. Step 5: Solve for x
    x = 2,691,899.13/2,460.76
  6. Step 6: Final answer
    x = 1,093.93

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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.