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Finding the Fourth Proportional to 6,451.35, 8,894.50 and 4,178.64

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Solution

The fourth proportional to 6,451.35, 8,894.50 and 4,178.64 is: 5,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.35 : 8,894.50 = 4,178.64 : x
  2. Step 2: Convert to fraction form
    6,451.35/8,894.50 = 4,178.64/x
  3. Step 3: Cross multiply
    6,451.35x = 8,894.50 × 4,178.64
  4. Step 4: Simplify right side
    6,451.35x = 37,166,913.48
  5. Step 5: Solve for x
    x = 37,166,913.48/6,451.35
  6. Step 6: Final answer
    x = 5,761.11

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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.