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Finding the Fourth Proportional to 6,978.25, 10,513.92 and 6,311.91

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Solution

The fourth proportional to 6,978.25, 10,513.92 and 6,311.91 is: 9,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.25 : 10,513.92 = 6,311.91 : x
  2. Step 2: Convert to fraction form
    6,978.25/10,513.92 = 6,311.91/x
  3. Step 3: Cross multiply
    6,978.25x = 10,513.92 × 6,311.91
  4. Step 4: Simplify right side
    6,978.25x = 66,362,979.88
  5. Step 5: Solve for x
    x = 66,362,979.88/6,978.25
  6. Step 6: Final answer
    x = 9,509.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.