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Finding the Fourth Proportional to 7,894.78, 11,841.36 and 2,701.06

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Solution

The fourth proportional to 7,894.78, 11,841.36 and 2,701.06 is: 4,051.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.78 : 11,841.36 = 2,701.06 : x
  2. Step 2: Convert to fraction form
    7,894.78/11,841.36 = 2,701.06/x
  3. Step 3: Cross multiply
    7,894.78x = 11,841.36 × 2,701.06
  4. Step 4: Simplify right side
    7,894.78x = 31,984,223.84
  5. Step 5: Solve for x
    x = 31,984,223.84/7,894.78
  6. Step 6: Final answer
    x = 4,051.31

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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.