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Finding the Fourth Proportional to 5,574, 7,692.84 and 3,215.76

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Solution

The fourth proportional to 5,574, 7,692.84 and 3,215.76 is: 4,438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574 : 7,692.84 = 3,215.76 : x
  2. Step 2: Convert to fraction form
    5,574/7,692.84 = 3,215.76/x
  3. Step 3: Cross multiply
    5,574x = 7,692.84 × 3,215.76
  4. Step 4: Simplify right side
    5,574x = 24,738,327.16
  5. Step 5: Solve for x
    x = 24,738,327.16/5,574
  6. Step 6: Final answer
    x = 4,438.16

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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.