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Finding the Fourth Proportional to 5,458.49, 8,187.78 and 1,948.66

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Solution

The fourth proportional to 5,458.49, 8,187.78 and 1,948.66 is: 2,923.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.49 : 8,187.78 = 1,948.66 : x
  2. Step 2: Convert to fraction form
    5,458.49/8,187.78 = 1,948.66/x
  3. Step 3: Cross multiply
    5,458.49x = 8,187.78 × 1,948.66
  4. Step 4: Simplify right side
    5,458.49x = 15,955,186.21
  5. Step 5: Solve for x
    x = 15,955,186.21/5,458.49
  6. Step 6: Final answer
    x = 2,923.00

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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.