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Finding the Fourth Proportional to 2,447.12, 3,669.98 and 692.01

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Solution

The fourth proportional to 2,447.12, 3,669.98 and 692.01 is: 1,037.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.12 : 3,669.98 = 692.01 : x
  2. Step 2: Convert to fraction form
    2,447.12/3,669.98 = 692.01/x
  3. Step 3: Cross multiply
    2,447.12x = 3,669.98 × 692.01
  4. Step 4: Simplify right side
    2,447.12x = 2,539,659.40
  5. Step 5: Solve for x
    x = 2,539,659.40/2,447.12
  6. Step 6: Final answer
    x = 1,037.82

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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.