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Finding the Fourth Proportional to 7,073.82, 9,760.31 and 4,089.14

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Solution

The fourth proportional to 7,073.82, 9,760.31 and 4,089.14 is: 5,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.82 : 9,760.31 = 4,089.14 : x
  2. Step 2: Convert to fraction form
    7,073.82/9,760.31 = 4,089.14/x
  3. Step 3: Cross multiply
    7,073.82x = 9,760.31 × 4,089.14
  4. Step 4: Simplify right side
    7,073.82x = 39,911,204.79
  5. Step 5: Solve for x
    x = 39,911,204.79/7,073.82
  6. Step 6: Final answer
    x = 5,642.10

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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.