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Finding the Fourth Proportional to 7,860.20, 11,724.07 and 7,315.88

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Solution

The fourth proportional to 7,860.20, 11,724.07 and 7,315.88 is: 10,912.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.20 : 11,724.07 = 7,315.88 : x
  2. Step 2: Convert to fraction form
    7,860.20/11,724.07 = 7,315.88/x
  3. Step 3: Cross multiply
    7,860.20x = 11,724.07 × 7,315.88
  4. Step 4: Simplify right side
    7,860.20x = 85,771,889.23
  5. Step 5: Solve for x
    x = 85,771,889.23/7,860.20
  6. Step 6: Final answer
    x = 10,912.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.