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Finding the Fourth Proportional to 7,895, 11,849.79 and 4,002.14

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Solution

The fourth proportional to 7,895, 11,849.79 and 4,002.14 is: 6,006.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895 : 11,849.79 = 4,002.14 : x
  2. Step 2: Convert to fraction form
    7,895/11,849.79 = 4,002.14/x
  3. Step 3: Cross multiply
    7,895x = 11,849.79 × 4,002.14
  4. Step 4: Simplify right side
    7,895x = 47,424,518.55
  5. Step 5: Solve for x
    x = 47,424,518.55/7,895
  6. Step 6: Final answer
    x = 6,006.91

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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.