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Finding the Fourth Proportional to 5,574, 7,692.12 and 3,090

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Solution

The fourth proportional to 5,574, 7,692.12 and 3,090 is: 4,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574 : 7,692.12 = 3,090 : x
  2. Step 2: Convert to fraction form
    5,574/7,692.12 = 3,090/x
  3. Step 3: Cross multiply
    5,574x = 7,692.12 × 3,090
  4. Step 4: Simplify right side
    5,574x = 23,768,650.80
  5. Step 5: Solve for x
    x = 23,768,650.80/5,574
  6. Step 6: Final answer
    x = 4,264.20

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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.