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Finding the Fourth Proportional to 5,126.01, 7,678.07 and 3,894

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Solution

The fourth proportional to 5,126.01, 7,678.07 and 3,894 is: 5,832.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.01 : 7,678.07 = 3,894 : x
  2. Step 2: Convert to fraction form
    5,126.01/7,678.07 = 3,894/x
  3. Step 3: Cross multiply
    5,126.01x = 7,678.07 × 3,894
  4. Step 4: Simplify right side
    5,126.01x = 29,898,404.58
  5. Step 5: Solve for x
    x = 29,898,404.58/5,126.01
  6. Step 6: Final answer
    x = 5,832.69

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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.