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Finding the Fourth Proportional to 3,900.78, 5,852.26 and 2,254.32

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Solution

The fourth proportional to 3,900.78, 5,852.26 and 2,254.32 is: 3,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.78 : 5,852.26 = 2,254.32 : x
  2. Step 2: Convert to fraction form
    3,900.78/5,852.26 = 2,254.32/x
  3. Step 3: Cross multiply
    3,900.78x = 5,852.26 × 2,254.32
  4. Step 4: Simplify right side
    3,900.78x = 13,192,866.76
  5. Step 5: Solve for x
    x = 13,192,866.76/3,900.78
  6. Step 6: Final answer
    x = 3,382.11

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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.