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Finding the Fourth Proportional to 7,135.39, 10,700.42 and 2,454.07

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Solution

The fourth proportional to 7,135.39, 10,700.42 and 2,454.07 is: 3,680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.39 : 10,700.42 = 2,454.07 : x
  2. Step 2: Convert to fraction form
    7,135.39/10,700.42 = 2,454.07/x
  3. Step 3: Cross multiply
    7,135.39x = 10,700.42 × 2,454.07
  4. Step 4: Simplify right side
    7,135.39x = 26,259,567.44
  5. Step 5: Solve for x
    x = 26,259,567.44/7,135.39
  6. Step 6: Final answer
    x = 3,680.19

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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.