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Finding the Fourth Proportional to 2,812.54, 4,218.38 and 963.23

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Solution

The fourth proportional to 2,812.54, 4,218.38 and 963.23 is: 1,444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.54 : 4,218.38 = 963.23 : x
  2. Step 2: Convert to fraction form
    2,812.54/4,218.38 = 963.23/x
  3. Step 3: Cross multiply
    2,812.54x = 4,218.38 × 963.23
  4. Step 4: Simplify right side
    2,812.54x = 4,063,270.17
  5. Step 5: Solve for x
    x = 4,063,270.17/2,812.54
  6. Step 6: Final answer
    x = 1,444.70

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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.