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Finding the Fourth Proportional to 7,978.52, 11,009.56 and 4,622.41

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Solution

The fourth proportional to 7,978.52, 11,009.56 and 4,622.41 is: 6,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.52 : 11,009.56 = 4,622.41 : x
  2. Step 2: Convert to fraction form
    7,978.52/11,009.56 = 4,622.41/x
  3. Step 3: Cross multiply
    7,978.52x = 11,009.56 × 4,622.41
  4. Step 4: Simplify right side
    7,978.52x = 50,890,700.24
  5. Step 5: Solve for x
    x = 50,890,700.24/7,978.52
  6. Step 6: Final answer
    x = 6,378.46

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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.