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Finding the Fourth Proportional to 6,431.78, 8,876.10 and 4,857.14

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Solution

The fourth proportional to 6,431.78, 8,876.10 and 4,857.14 is: 6,703.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.78 : 8,876.10 = 4,857.14 : x
  2. Step 2: Convert to fraction form
    6,431.78/8,876.10 = 4,857.14/x
  3. Step 3: Cross multiply
    6,431.78x = 8,876.10 × 4,857.14
  4. Step 4: Simplify right side
    6,431.78x = 43,112,460.35
  5. Step 5: Solve for x
    x = 43,112,460.35/6,431.78
  6. Step 6: Final answer
    x = 6,703.04

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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.