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Finding the Fourth Proportional to 5,155.11, 7,770.74 and 4,854.06

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Solution

The fourth proportional to 5,155.11, 7,770.74 and 4,854.06 is: 7,316.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.11 : 7,770.74 = 4,854.06 : x
  2. Step 2: Convert to fraction form
    5,155.11/7,770.74 = 4,854.06/x
  3. Step 3: Cross multiply
    5,155.11x = 7,770.74 × 4,854.06
  4. Step 4: Simplify right side
    5,155.11x = 37,719,613.93
  5. Step 5: Solve for x
    x = 37,719,613.93/5,155.11
  6. Step 6: Final answer
    x = 7,316.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.