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Finding the Fourth Proportional to 6,423.71, 8,857.71 and 4,181.45

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Solution

The fourth proportional to 6,423.71, 8,857.71 and 4,181.45 is: 5,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.71 : 8,857.71 = 4,181.45 : x
  2. Step 2: Convert to fraction form
    6,423.71/8,857.71 = 4,181.45/x
  3. Step 3: Cross multiply
    6,423.71x = 8,857.71 × 4,181.45
  4. Step 4: Simplify right side
    6,423.71x = 37,038,027.19
  5. Step 5: Solve for x
    x = 37,038,027.19/6,423.71
  6. Step 6: Final answer
    x = 5,765.84

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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.