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Finding the Fourth Proportional to 5,354.78, 8,034.45 and 2,235.47

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Solution

The fourth proportional to 5,354.78, 8,034.45 and 2,235.47 is: 3,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.78 : 8,034.45 = 2,235.47 : x
  2. Step 2: Convert to fraction form
    5,354.78/8,034.45 = 2,235.47/x
  3. Step 3: Cross multiply
    5,354.78x = 8,034.45 × 2,235.47
  4. Step 4: Simplify right side
    5,354.78x = 17,960,792.03
  5. Step 5: Solve for x
    x = 17,960,792.03/5,354.78
  6. Step 6: Final answer
    x = 3,354.16

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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.