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Finding the Fourth Proportional to 7,978.90, 11,008.03 and 4,619.88

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Solution

The fourth proportional to 7,978.90, 11,008.03 and 4,619.88 is: 6,373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.90 : 11,008.03 = 4,619.88 : x
  2. Step 2: Convert to fraction form
    7,978.90/11,008.03 = 4,619.88/x
  3. Step 3: Cross multiply
    7,978.90x = 11,008.03 × 4,619.88
  4. Step 4: Simplify right side
    7,978.90x = 50,855,699.50
  5. Step 5: Solve for x
    x = 50,855,699.50/7,978.90
  6. Step 6: Final answer
    x = 6,373.78

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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.