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Finding the Fourth Proportional to 1,409.90, 2,114.85 and 949.10

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Solution

The fourth proportional to 1,409.90, 2,114.85 and 949.10 is: 1,423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.90 : 2,114.85 = 949.10 : x
  2. Step 2: Convert to fraction form
    1,409.90/2,114.85 = 949.10/x
  3. Step 3: Cross multiply
    1,409.90x = 2,114.85 × 949.10
  4. Step 4: Simplify right side
    1,409.90x = 2,007,204.14
  5. Step 5: Solve for x
    x = 2,007,204.14/1,409.90
  6. Step 6: Final answer
    x = 1,423.65

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Double scale
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Similar ratio
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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.