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Finding the Fourth Proportional to 5,624.55, 8,438.22 and 1,728.84

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Solution

The fourth proportional to 5,624.55, 8,438.22 and 1,728.84 is: 2,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.55 : 8,438.22 = 1,728.84 : x
  2. Step 2: Convert to fraction form
    5,624.55/8,438.22 = 1,728.84/x
  3. Step 3: Cross multiply
    5,624.55x = 8,438.22 × 1,728.84
  4. Step 4: Simplify right side
    5,624.55x = 14,588,332.26
  5. Step 5: Solve for x
    x = 14,588,332.26/5,624.55
  6. Step 6: Final answer
    x = 2,593.69

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