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Finding the Fourth Proportional to 4,757.70, 6,565.68 and 3,970.38

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Solution

The fourth proportional to 4,757.70, 6,565.68 and 3,970.38 is: 5,479.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.70 : 6,565.68 = 3,970.38 : x
  2. Step 2: Convert to fraction form
    4,757.70/6,565.68 = 3,970.38/x
  3. Step 3: Cross multiply
    4,757.70x = 6,565.68 × 3,970.38
  4. Step 4: Simplify right side
    4,757.70x = 26,068,244.56
  5. Step 5: Solve for x
    x = 26,068,244.56/4,757.70
  6. Step 6: Final answer
    x = 5,479.17

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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.