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Finding the Fourth Proportional to 7,800.42, 11,698.32 and 2,253.82

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Solution

The fourth proportional to 7,800.42, 11,698.32 and 2,253.82 is: 3,380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.42 : 11,698.32 = 2,253.82 : x
  2. Step 2: Convert to fraction form
    7,800.42/11,698.32 = 2,253.82/x
  3. Step 3: Cross multiply
    7,800.42x = 11,698.32 × 2,253.82
  4. Step 4: Simplify right side
    7,800.42x = 26,365,886.79
  5. Step 5: Solve for x
    x = 26,365,886.79/7,800.42
  6. Step 6: Final answer
    x = 3,380.06

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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.