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Finding the Fourth Proportional to 5,704, 7,871.52 and 3,220

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Solution

The fourth proportional to 5,704, 7,871.52 and 3,220 is: 4,443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704 : 7,871.52 = 3,220 : x
  2. Step 2: Convert to fraction form
    5,704/7,871.52 = 3,220/x
  3. Step 3: Cross multiply
    5,704x = 7,871.52 × 3,220
  4. Step 4: Simplify right side
    5,704x = 25,346,294.40
  5. Step 5: Solve for x
    x = 25,346,294.40/5,704
  6. Step 6: Final answer
    x = 4,443.60

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Why These Related Problems?

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