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Finding the Fourth Proportional to 3,907.74, 5,392.47 and 2,139.01

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Solution

The fourth proportional to 3,907.74, 5,392.47 and 2,139.01 is: 2,951.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.74 : 5,392.47 = 2,139.01 : x
  2. Step 2: Convert to fraction form
    3,907.74/5,392.47 = 2,139.01/x
  3. Step 3: Cross multiply
    3,907.74x = 5,392.47 × 2,139.01
  4. Step 4: Simplify right side
    3,907.74x = 11,534,541.79
  5. Step 5: Solve for x
    x = 11,534,541.79/3,907.74
  6. Step 6: Final answer
    x = 2,951.71

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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.