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Finding the Fourth Proportional to 6,978.31, 9,632.60 and 4,621.21

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Solution

The fourth proportional to 6,978.31, 9,632.60 and 4,621.21 is: 6,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.31 : 9,632.60 = 4,621.21 : x
  2. Step 2: Convert to fraction form
    6,978.31/9,632.60 = 4,621.21/x
  3. Step 3: Cross multiply
    6,978.31x = 9,632.60 × 4,621.21
  4. Step 4: Simplify right side
    6,978.31x = 44,514,267.45
  5. Step 5: Solve for x
    x = 44,514,267.45/6,978.31
  6. Step 6: Final answer
    x = 6,378.95

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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.