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Finding the Fourth Proportional to 2,692.40, 4,038.98 and 1,132.49

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Solution

The fourth proportional to 2,692.40, 4,038.98 and 1,132.49 is: 1,698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.40 : 4,038.98 = 1,132.49 : x
  2. Step 2: Convert to fraction form
    2,692.40/4,038.98 = 1,132.49/x
  3. Step 3: Cross multiply
    2,692.40x = 4,038.98 × 1,132.49
  4. Step 4: Simplify right side
    2,692.40x = 4,574,078.60
  5. Step 5: Solve for x
    x = 4,574,078.60/2,692.40
  6. Step 6: Final answer
    x = 1,698.89

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