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Finding the Fourth Proportional to 3,907.64, 5,392.22 and 2,139.16

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Solution

The fourth proportional to 3,907.64, 5,392.22 and 2,139.16 is: 2,951.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.64 : 5,392.22 = 2,139.16 : x
  2. Step 2: Convert to fraction form
    3,907.64/5,392.22 = 2,139.16/x
  3. Step 3: Cross multiply
    3,907.64x = 5,392.22 × 2,139.16
  4. Step 4: Simplify right side
    3,907.64x = 11,534,821.34
  5. Step 5: Solve for x
    x = 11,534,821.34/3,907.64
  6. Step 6: Final answer
    x = 2,951.86

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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.