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Finding the Fourth Proportional to 7,746.66, 11,614.08 and 3,853.80

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Solution

The fourth proportional to 7,746.66, 11,614.08 and 3,853.80 is: 5,777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.66 : 11,614.08 = 3,853.80 : x
  2. Step 2: Convert to fraction form
    7,746.66/11,614.08 = 3,853.80/x
  3. Step 3: Cross multiply
    7,746.66x = 11,614.08 × 3,853.80
  4. Step 4: Simplify right side
    7,746.66x = 44,758,341.50
  5. Step 5: Solve for x
    x = 44,758,341.50/7,746.66
  6. Step 6: Final answer
    x = 5,777.76

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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.