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Finding the Fourth Proportional to 6,978.09, 9,630.30 and 3,994.86

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Solution

The fourth proportional to 6,978.09, 9,630.30 and 3,994.86 is: 5,513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.09 : 9,630.30 = 3,994.86 : x
  2. Step 2: Convert to fraction form
    6,978.09/9,630.30 = 3,994.86/x
  3. Step 3: Cross multiply
    6,978.09x = 9,630.30 × 3,994.86
  4. Step 4: Simplify right side
    6,978.09x = 38,471,700.26
  5. Step 5: Solve for x
    x = 38,471,700.26/6,978.09
  6. Step 6: Final answer
    x = 5,513.21

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1.5x scale

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.