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Finding the Fourth Proportional to 7,978.19, 11,009.90 and 4,441.41

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Solution

The fourth proportional to 7,978.19, 11,009.90 and 4,441.41 is: 6,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.19 : 11,009.90 = 4,441.41 : x
  2. Step 2: Convert to fraction form
    7,978.19/11,009.90 = 4,441.41/x
  3. Step 3: Cross multiply
    7,978.19x = 11,009.90 × 4,441.41
  4. Step 4: Simplify right side
    7,978.19x = 48,899,479.96
  5. Step 5: Solve for x
    x = 48,899,479.96/7,978.19
  6. Step 6: Final answer
    x = 6,129.14

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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.