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Finding the Fourth Proportional to 2,099.81, 3,149.72 and 560.81

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Solution

The fourth proportional to 2,099.81, 3,149.72 and 560.81 is: 841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.81 : 3,149.72 = 560.81 : x
  2. Step 2: Convert to fraction form
    2,099.81/3,149.72 = 560.81/x
  3. Step 3: Cross multiply
    2,099.81x = 3,149.72 × 560.81
  4. Step 4: Simplify right side
    2,099.81x = 1,766,401.65
  5. Step 5: Solve for x
    x = 1,766,401.65/2,099.81
  6. Step 6: Final answer
    x = 841.22

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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.