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Finding the Fourth Proportional to 4,203.50, 5,801.12 and 2,784.78

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Solution

The fourth proportional to 4,203.50, 5,801.12 and 2,784.78 is: 3,843.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.50 : 5,801.12 = 2,784.78 : x
  2. Step 2: Convert to fraction form
    4,203.50/5,801.12 = 2,784.78/x
  3. Step 3: Cross multiply
    4,203.50x = 5,801.12 × 2,784.78
  4. Step 4: Simplify right side
    4,203.50x = 16,154,839.47
  5. Step 5: Solve for x
    x = 16,154,839.47/4,203.50
  6. Step 6: Final answer
    x = 3,843.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.