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Finding the Fourth Proportional to 4,230.78, 5,839.20 and 2,907.51

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Solution

The fourth proportional to 4,230.78, 5,839.20 and 2,907.51 is: 4,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.78 : 5,839.20 = 2,907.51 : x
  2. Step 2: Convert to fraction form
    4,230.78/5,839.20 = 2,907.51/x
  3. Step 3: Cross multiply
    4,230.78x = 5,839.20 × 2,907.51
  4. Step 4: Simplify right side
    4,230.78x = 16,977,532.39
  5. Step 5: Solve for x
    x = 16,977,532.39/4,230.78
  6. Step 6: Final answer
    x = 4,012.86

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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.