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Finding the Fourth Proportional to 5,706, 7,859.70 and 4,377.42

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Solution

The fourth proportional to 5,706, 7,859.70 and 4,377.42 is: 6,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706 : 7,859.70 = 4,377.42 : x
  2. Step 2: Convert to fraction form
    5,706/7,859.70 = 4,377.42/x
  3. Step 3: Cross multiply
    5,706x = 7,859.70 × 4,377.42
  4. Step 4: Simplify right side
    5,706x = 34,405,207.97
  5. Step 5: Solve for x
    x = 34,405,207.97/5,706
  6. Step 6: Final answer
    x = 6,029.65

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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.