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Finding the Fourth Proportional to 7,978.65, 11,007.68 and 4,619.63

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Solution

The fourth proportional to 7,978.65, 11,007.68 and 4,619.63 is: 6,373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.65 : 11,007.68 = 4,619.63 : x
  2. Step 2: Convert to fraction form
    7,978.65/11,007.68 = 4,619.63/x
  3. Step 3: Cross multiply
    7,978.65x = 11,007.68 × 4,619.63
  4. Step 4: Simplify right side
    7,978.65x = 50,851,353.72
  5. Step 5: Solve for x
    x = 50,851,353.72/7,978.65
  6. Step 6: Final answer
    x = 6,373.43

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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.