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Finding the Fourth Proportional to 3,907.68, 5,395.20 and 3,071.76

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Solution

The fourth proportional to 3,907.68, 5,395.20 and 3,071.76 is: 4,241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.68 : 5,395.20 = 3,071.76 : x
  2. Step 2: Convert to fraction form
    3,907.68/5,395.20 = 3,071.76/x
  3. Step 3: Cross multiply
    3,907.68x = 5,395.20 × 3,071.76
  4. Step 4: Simplify right side
    3,907.68x = 16,572,759.55
  5. Step 5: Solve for x
    x = 16,572,759.55/3,907.68
  6. Step 6: Final answer
    x = 4,241.07

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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.