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Finding the Fourth Proportional to 3,166.19, 4,748.85 and 974.87

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Solution

The fourth proportional to 3,166.19, 4,748.85 and 974.87 is: 1,462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.19 : 4,748.85 = 974.87 : x
  2. Step 2: Convert to fraction form
    3,166.19/4,748.85 = 974.87/x
  3. Step 3: Cross multiply
    3,166.19x = 4,748.85 × 974.87
  4. Step 4: Simplify right side
    3,166.19x = 4,629,487.66
  5. Step 5: Solve for x
    x = 4,629,487.66/3,166.19
  6. Step 6: Final answer
    x = 1,462.17

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.