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Finding the Fourth Proportional to 5,639.75, 7,769.88 and 5,377.31

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Solution

The fourth proportional to 5,639.75, 7,769.88 and 5,377.31 is: 7,408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.75 : 7,769.88 = 5,377.31 : x
  2. Step 2: Convert to fraction form
    5,639.75/7,769.88 = 5,377.31/x
  3. Step 3: Cross multiply
    5,639.75x = 7,769.88 × 5,377.31
  4. Step 4: Simplify right side
    5,639.75x = 41,781,014.57
  5. Step 5: Solve for x
    x = 41,781,014.57/5,639.75
  6. Step 6: Final answer
    x = 7,408.32

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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.