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Finding the Fourth Proportional to 6,410, 8,845.80 and 3,466

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Solution

The fourth proportional to 6,410, 8,845.80 and 3,466 is: 4,783.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410 : 8,845.80 = 3,466 : x
  2. Step 2: Convert to fraction form
    6,410/8,845.80 = 3,466/x
  3. Step 3: Cross multiply
    6,410x = 8,845.80 × 3,466
  4. Step 4: Simplify right side
    6,410x = 30,659,542.80
  5. Step 5: Solve for x
    x = 30,659,542.80/6,410
  6. Step 6: Final answer
    x = 4,783.08

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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.