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Finding the Fourth Proportional to 3,406.71, 5,109.87 and 907.71

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Solution

The fourth proportional to 3,406.71, 5,109.87 and 907.71 is: 1,361.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.71 : 5,109.87 = 907.71 : x
  2. Step 2: Convert to fraction form
    3,406.71/5,109.87 = 907.71/x
  3. Step 3: Cross multiply
    3,406.71x = 5,109.87 × 907.71
  4. Step 4: Simplify right side
    3,406.71x = 4,638,280.10
  5. Step 5: Solve for x
    x = 4,638,280.10/3,406.71
  6. Step 6: Final answer
    x = 1,361.51

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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.