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Finding the Fourth Proportional to 7,758.60, 11,632.02 and 3,865.74

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Solution

The fourth proportional to 7,758.60, 11,632.02 and 3,865.74 is: 5,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.60 : 11,632.02 = 3,865.74 : x
  2. Step 2: Convert to fraction form
    7,758.60/11,632.02 = 3,865.74/x
  3. Step 3: Cross multiply
    7,758.60x = 11,632.02 × 3,865.74
  4. Step 4: Simplify right side
    7,758.60x = 44,966,364.99
  5. Step 5: Solve for x
    x = 44,966,364.99/7,758.60
  6. Step 6: Final answer
    x = 5,795.68

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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.