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Finding the Fourth Proportional to 7,767.30, 11,579 and 7,647.42

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Solution

The fourth proportional to 7,767.30, 11,579 and 7,647.42 is: 11,400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.30 : 11,579 = 7,647.42 : x
  2. Step 2: Convert to fraction form
    7,767.30/11,579 = 7,647.42/x
  3. Step 3: Cross multiply
    7,767.30x = 11,579 × 7,647.42
  4. Step 4: Simplify right side
    7,767.30x = 88,549,476.18
  5. Step 5: Solve for x
    x = 88,549,476.18/7,767.30
  6. Step 6: Final answer
    x = 11,400.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.