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Finding the Fourth Proportional to 3,907.84, 5,860.80 and 1,310.72

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Solution

The fourth proportional to 3,907.84, 5,860.80 and 1,310.72 is: 1,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.84 : 5,860.80 = 1,310.72 : x
  2. Step 2: Convert to fraction form
    3,907.84/5,860.80 = 1,310.72/x
  3. Step 3: Cross multiply
    3,907.84x = 5,860.80 × 1,310.72
  4. Step 4: Simplify right side
    3,907.84x = 7,681,867.78
  5. Step 5: Solve for x
    x = 7,681,867.78/3,907.84
  6. Step 6: Final answer
    x = 1,965.76

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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.