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Finding the Fourth Proportional to 5,674, 8,510.94 and 2,213.68

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Solution

The fourth proportional to 5,674, 8,510.94 and 2,213.68 is: 3,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674 : 8,510.94 = 2,213.68 : x
  2. Step 2: Convert to fraction form
    5,674/8,510.94 = 2,213.68/x
  3. Step 3: Cross multiply
    5,674x = 8,510.94 × 2,213.68
  4. Step 4: Simplify right side
    5,674x = 18,840,497.66
  5. Step 5: Solve for x
    x = 18,840,497.66/5,674
  6. Step 6: Final answer
    x = 3,320.50

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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.