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Finding the Fourth Proportional to 5,213.42, 7,800.50 and 3,656.46

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Solution

The fourth proportional to 5,213.42, 7,800.50 and 3,656.46 is: 5,470.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.42 : 7,800.50 = 3,656.46 : x
  2. Step 2: Convert to fraction form
    5,213.42/7,800.50 = 3,656.46/x
  3. Step 3: Cross multiply
    5,213.42x = 7,800.50 × 3,656.46
  4. Step 4: Simplify right side
    5,213.42x = 28,522,196.12
  5. Step 5: Solve for x
    x = 28,522,196.12/5,213.42
  6. Step 6: Final answer
    x = 5,470.92

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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.