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Finding the Fourth Proportional to 5,685.75, 8,528.63 and 2,223

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Solution

The fourth proportional to 5,685.75, 8,528.63 and 2,223 is: 3,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.75 : 8,528.63 = 2,223 : x
  2. Step 2: Convert to fraction form
    5,685.75/8,528.63 = 2,223/x
  3. Step 3: Cross multiply
    5,685.75x = 8,528.63 × 2,223
  4. Step 4: Simplify right side
    5,685.75x = 18,959,133.38
  5. Step 5: Solve for x
    x = 18,959,133.38/5,685.75
  6. Step 6: Final answer
    x = 3,334.50

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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.