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Finding the Fourth Proportional to 7,978.50, 11,010.33 and 4,666.50

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Solution

The fourth proportional to 7,978.50, 11,010.33 and 4,666.50 is: 6,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.50 : 11,010.33 = 4,666.50 : x
  2. Step 2: Convert to fraction form
    7,978.50/11,010.33 = 4,666.50/x
  3. Step 3: Cross multiply
    7,978.50x = 11,010.33 × 4,666.50
  4. Step 4: Simplify right side
    7,978.50x = 51,379,704.95
  5. Step 5: Solve for x
    x = 51,379,704.95/7,978.50
  6. Step 6: Final answer
    x = 6,439.77

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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.