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Finding the Fourth Proportional to 4,630.64, 6,381 and 3,930.80

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Solution

The fourth proportional to 4,630.64, 6,381 and 3,930.80 is: 5,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.64 : 6,381 = 3,930.80 : x
  2. Step 2: Convert to fraction form
    4,630.64/6,381 = 3,930.80/x
  3. Step 3: Cross multiply
    4,630.64x = 6,381 × 3,930.80
  4. Step 4: Simplify right side
    4,630.64x = 25,082,434.80
  5. Step 5: Solve for x
    x = 25,082,434.80/4,630.64
  6. Step 6: Final answer
    x = 5,416.62

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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.