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Finding the Fourth Proportional to 7,438.25, 10,264.77 and 4,081.08

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Solution

The fourth proportional to 7,438.25, 10,264.77 and 4,081.08 is: 5,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.25 : 10,264.77 = 4,081.08 : x
  2. Step 2: Convert to fraction form
    7,438.25/10,264.77 = 4,081.08/x
  3. Step 3: Cross multiply
    7,438.25x = 10,264.77 × 4,081.08
  4. Step 4: Simplify right side
    7,438.25x = 41,891,347.55
  5. Step 5: Solve for x
    x = 41,891,347.55/7,438.25
  6. Step 6: Final answer
    x = 5,631.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.