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Finding the Fourth Proportional to 5,458.69, 8,187.60 and 1,948.54

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Solution

The fourth proportional to 5,458.69, 8,187.60 and 1,948.54 is: 2,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.69 : 8,187.60 = 1,948.54 : x
  2. Step 2: Convert to fraction form
    5,458.69/8,187.60 = 1,948.54/x
  3. Step 3: Cross multiply
    5,458.69x = 8,187.60 × 1,948.54
  4. Step 4: Simplify right side
    5,458.69x = 15,953,866.10
  5. Step 5: Solve for x
    x = 15,953,866.10/5,458.69
  6. Step 6: Final answer
    x = 2,922.65

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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.