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Finding the Fourth Proportional to 5,692.84, 8,472.94 and 5,638.12

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Solution

The fourth proportional to 5,692.84, 8,472.94 and 5,638.12 is: 8,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.84 : 8,472.94 = 5,638.12 : x
  2. Step 2: Convert to fraction form
    5,692.84/8,472.94 = 5,638.12/x
  3. Step 3: Cross multiply
    5,692.84x = 8,472.94 × 5,638.12
  4. Step 4: Simplify right side
    5,692.84x = 47,771,452.47
  5. Step 5: Solve for x
    x = 47,771,452.47/5,692.84
  6. Step 6: Final answer
    x = 8,391.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.