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Finding the Fourth Proportional to 2,692.35, 4,038.71 and 843.53

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Solution

The fourth proportional to 2,692.35, 4,038.71 and 843.53 is: 1,265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.35 : 4,038.71 = 843.53 : x
  2. Step 2: Convert to fraction form
    2,692.35/4,038.71 = 843.53/x
  3. Step 3: Cross multiply
    2,692.35x = 4,038.71 × 843.53
  4. Step 4: Simplify right side
    2,692.35x = 3,406,748.64
  5. Step 5: Solve for x
    x = 3,406,748.64/2,692.35
  6. Step 6: Final answer
    x = 1,265.34

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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.