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Finding the Fourth Proportional to 7,159.56, 10,742.40 and 3,874.98

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Solution

The fourth proportional to 7,159.56, 10,742.40 and 3,874.98 is: 5,814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.56 : 10,742.40 = 3,874.98 : x
  2. Step 2: Convert to fraction form
    7,159.56/10,742.40 = 3,874.98/x
  3. Step 3: Cross multiply
    7,159.56x = 10,742.40 × 3,874.98
  4. Step 4: Simplify right side
    7,159.56x = 41,626,585.15
  5. Step 5: Solve for x
    x = 41,626,585.15/7,159.56
  6. Step 6: Final answer
    x = 5,814.13

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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.