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Finding the Fourth Proportional to 5,468.40, 8,203.68 and 1,572.84

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Solution

The fourth proportional to 5,468.40, 8,203.68 and 1,572.84 is: 2,359.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.40 : 8,203.68 = 1,572.84 : x
  2. Step 2: Convert to fraction form
    5,468.40/8,203.68 = 1,572.84/x
  3. Step 3: Cross multiply
    5,468.40x = 8,203.68 × 1,572.84
  4. Step 4: Simplify right side
    5,468.40x = 12,903,076.05
  5. Step 5: Solve for x
    x = 12,903,076.05/5,468.40
  6. Step 6: Final answer
    x = 2,359.57

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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.