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Finding the Fourth Proportional to 7,144.83, 10,719 and 5,770.62

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Solution

The fourth proportional to 7,144.83, 10,719 and 5,770.62 is: 8,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.83 : 10,719 = 5,770.62 : x
  2. Step 2: Convert to fraction form
    7,144.83/10,719 = 5,770.62/x
  3. Step 3: Cross multiply
    7,144.83x = 10,719 × 5,770.62
  4. Step 4: Simplify right side
    7,144.83x = 61,855,275.78
  5. Step 5: Solve for x
    x = 61,855,275.78/7,144.83
  6. Step 6: Final answer
    x = 8,657.35

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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.