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Finding the Fourth Proportional to 7,860, 10,849.23 and 5,065.50

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Solution

The fourth proportional to 7,860, 10,849.23 and 5,065.50 is: 6,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860 : 10,849.23 = 5,065.50 : x
  2. Step 2: Convert to fraction form
    7,860/10,849.23 = 5,065.50/x
  3. Step 3: Cross multiply
    7,860x = 10,849.23 × 5,065.50
  4. Step 4: Simplify right side
    7,860x = 54,956,774.57
  5. Step 5: Solve for x
    x = 54,956,774.57/7,860
  6. Step 6: Final answer
    x = 6,991.96

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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.