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Finding the Fourth Proportional to 7,978.40, 11,009.90 and 4,441.54

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Solution

The fourth proportional to 7,978.40, 11,009.90 and 4,441.54 is: 6,129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.40 : 11,009.90 = 4,441.54 : x
  2. Step 2: Convert to fraction form
    7,978.40/11,009.90 = 4,441.54/x
  3. Step 3: Cross multiply
    7,978.40x = 11,009.90 × 4,441.54
  4. Step 4: Simplify right side
    7,978.40x = 48,900,833.99
  5. Step 5: Solve for x
    x = 48,900,833.99/7,978.40
  6. Step 6: Final answer
    x = 6,129.15

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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.