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Finding the Fourth Proportional to 5,159.46, 7,742.16 and 2,238.06

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Solution

The fourth proportional to 5,159.46, 7,742.16 and 2,238.06 is: 3,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.46 : 7,742.16 = 2,238.06 : x
  2. Step 2: Convert to fraction form
    5,159.46/7,742.16 = 2,238.06/x
  3. Step 3: Cross multiply
    5,159.46x = 7,742.16 × 2,238.06
  4. Step 4: Simplify right side
    5,159.46x = 17,327,418.61
  5. Step 5: Solve for x
    x = 17,327,418.61/5,159.46
  6. Step 6: Final answer
    x = 3,358.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.