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Finding the Fourth Proportional to 5,670.57, 7,824.83 and 3,312.39

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Solution

The fourth proportional to 5,670.57, 7,824.83 and 3,312.39 is: 4,570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.57 : 7,824.83 = 3,312.39 : x
  2. Step 2: Convert to fraction form
    5,670.57/7,824.83 = 3,312.39/x
  3. Step 3: Cross multiply
    5,670.57x = 7,824.83 × 3,312.39
  4. Step 4: Simplify right side
    5,670.57x = 25,918,872.08
  5. Step 5: Solve for x
    x = 25,918,872.08/5,670.57
  6. Step 6: Final answer
    x = 4,570.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.