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Finding the Fourth Proportional to 3,294.98, 4,909.19 and 3,138.24

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Solution

The fourth proportional to 3,294.98, 4,909.19 and 3,138.24 is: 4,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.98 : 4,909.19 = 3,138.24 : x
  2. Step 2: Convert to fraction form
    3,294.98/4,909.19 = 3,138.24/x
  3. Step 3: Cross multiply
    3,294.98x = 4,909.19 × 3,138.24
  4. Step 4: Simplify right side
    3,294.98x = 15,406,250.04
  5. Step 5: Solve for x
    x = 15,406,250.04/3,294.98
  6. Step 6: Final answer
    x = 4,675.68

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Find fourth proportional to 1,647.49, 2,454.60 and 1,569.12
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.