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Finding the Fourth Proportional to 2,678.54, 3,692.54 and 2,235.74

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Solution

The fourth proportional to 2,678.54, 3,692.54 and 2,235.74 is: 3,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.54 : 3,692.54 = 2,235.74 : x
  2. Step 2: Convert to fraction form
    2,678.54/3,692.54 = 2,235.74/x
  3. Step 3: Cross multiply
    2,678.54x = 3,692.54 × 2,235.74
  4. Step 4: Simplify right side
    2,678.54x = 8,255,559.38
  5. Step 5: Solve for x
    x = 8,255,559.38/2,678.54
  6. Step 6: Final answer
    x = 3,082.11

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Half scale
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Double scale
Find fourth proportional to 2,679.54, 3,693.92 and 2,236.74
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.