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Finding the Fourth Proportional to 7,977, 11,008.26 and 4,665

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Solution

The fourth proportional to 7,977, 11,008.26 and 4,665 is: 6,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977 : 11,008.26 = 4,665 : x
  2. Step 2: Convert to fraction form
    7,977/11,008.26 = 4,665/x
  3. Step 3: Cross multiply
    7,977x = 11,008.26 × 4,665
  4. Step 4: Simplify right side
    7,977x = 51,353,532.90
  5. Step 5: Solve for x
    x = 51,353,532.90/7,977
  6. Step 6: Final answer
    x = 6,437.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.