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Finding the Fourth Proportional to 2,492.44, 3,739.30 and 761.06

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Solution

The fourth proportional to 2,492.44, 3,739.30 and 761.06 is: 1,141.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.44 : 3,739.30 = 761.06 : x
  2. Step 2: Convert to fraction form
    2,492.44/3,739.30 = 761.06/x
  3. Step 3: Cross multiply
    2,492.44x = 3,739.30 × 761.06
  4. Step 4: Simplify right side
    2,492.44x = 2,845,839.10
  5. Step 5: Solve for x
    x = 2,845,839.10/2,492.44
  6. Step 6: Final answer
    x = 1,141.79

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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.