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Finding the Fourth Proportional to 6,441.57, 9,642.90 and 5,825.57

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Solution

The fourth proportional to 6,441.57, 9,642.90 and 5,825.57 is: 8,720.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.57 : 9,642.90 = 5,825.57 : x
  2. Step 2: Convert to fraction form
    6,441.57/9,642.90 = 5,825.57/x
  3. Step 3: Cross multiply
    6,441.57x = 9,642.90 × 5,825.57
  4. Step 4: Simplify right side
    6,441.57x = 56,175,362.58
  5. Step 5: Solve for x
    x = 56,175,362.58/6,441.57
  6. Step 6: Final answer
    x = 8,720.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.