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Finding the Fourth Proportional to 7,864.78, 11,780.16 and 3,698.55

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Solution

The fourth proportional to 7,864.78, 11,780.16 and 3,698.55 is: 5,539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.78 : 11,780.16 = 3,698.55 : x
  2. Step 2: Convert to fraction form
    7,864.78/11,780.16 = 3,698.55/x
  3. Step 3: Cross multiply
    7,864.78x = 11,780.16 × 3,698.55
  4. Step 4: Simplify right side
    7,864.78x = 43,569,433.37
  5. Step 5: Solve for x
    x = 43,569,433.37/7,864.78
  6. Step 6: Final answer
    x = 5,539.82

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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.