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Finding the Fourth Proportional to 3,641.49, 5,459.72 and 1,692.63

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Solution

The fourth proportional to 3,641.49, 5,459.72 and 1,692.63 is: 2,537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.49 : 5,459.72 = 1,692.63 : x
  2. Step 2: Convert to fraction form
    3,641.49/5,459.72 = 1,692.63/x
  3. Step 3: Cross multiply
    3,641.49x = 5,459.72 × 1,692.63
  4. Step 4: Simplify right side
    3,641.49x = 9,241,277.40
  5. Step 5: Solve for x
    x = 9,241,277.40/3,641.49
  6. Step 6: Final answer
    x = 2,537.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.