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Finding the Fourth Proportional to 7,157.15, 10,724.05 and 3,642.32

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Solution

The fourth proportional to 7,157.15, 10,724.05 and 3,642.32 is: 5,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.15 : 10,724.05 = 3,642.32 : x
  2. Step 2: Convert to fraction form
    7,157.15/10,724.05 = 3,642.32/x
  3. Step 3: Cross multiply
    7,157.15x = 10,724.05 × 3,642.32
  4. Step 4: Simplify right side
    7,157.15x = 39,060,439.50
  5. Step 5: Solve for x
    x = 39,060,439.50/7,157.15
  6. Step 6: Final answer
    x = 5,457.54

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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.