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Finding the Fourth Proportional to 6,878.88, 9,490.68 and 4,190.64

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Solution

The fourth proportional to 6,878.88, 9,490.68 and 4,190.64 is: 5,781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.88 : 9,490.68 = 4,190.64 : x
  2. Step 2: Convert to fraction form
    6,878.88/9,490.68 = 4,190.64/x
  3. Step 3: Cross multiply
    6,878.88x = 9,490.68 × 4,190.64
  4. Step 4: Simplify right side
    6,878.88x = 39,772,023.24
  5. Step 5: Solve for x
    x = 39,772,023.24/6,878.88
  6. Step 6: Final answer
    x = 5,781.76

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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.