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Finding the Fourth Proportional to 7,870.08, 11,806.40 and 3,766.08

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Solution

The fourth proportional to 7,870.08, 11,806.40 and 3,766.08 is: 5,649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.08 : 11,806.40 = 3,766.08 : x
  2. Step 2: Convert to fraction form
    7,870.08/11,806.40 = 3,766.08/x
  3. Step 3: Cross multiply
    7,870.08x = 11,806.40 × 3,766.08
  4. Step 4: Simplify right side
    7,870.08x = 44,463,846.91
  5. Step 5: Solve for x
    x = 44,463,846.91/7,870.08
  6. Step 6: Final answer
    x = 5,649.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.