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Finding the Fourth Proportional to 5,706.36, 7,868.25 and 4,641.21

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Solution

The fourth proportional to 5,706.36, 7,868.25 and 4,641.21 is: 6,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.36 : 7,868.25 = 4,641.21 : x
  2. Step 2: Convert to fraction form
    5,706.36/7,868.25 = 4,641.21/x
  3. Step 3: Cross multiply
    5,706.36x = 7,868.25 × 4,641.21
  4. Step 4: Simplify right side
    5,706.36x = 36,518,200.58
  5. Step 5: Solve for x
    x = 36,518,200.58/5,706.36
  6. Step 6: Final answer
    x = 6,399.56

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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.