Home / 5,105.13-7,656.81-1,406.49

Finding the Fourth Proportional to 5,105.13, 7,656.81 and 1,406.49

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Solution

The fourth proportional to 5,105.13, 7,656.81 and 1,406.49 is: 2,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.13 : 7,656.81 = 1,406.49 : x
  2. Step 2: Convert to fraction form
    5,105.13/7,656.81 = 1,406.49/x
  3. Step 3: Cross multiply
    5,105.13x = 7,656.81 × 1,406.49
  4. Step 4: Simplify right side
    5,105.13x = 10,769,226.70
  5. Step 5: Solve for x
    x = 10,769,226.70/5,105.13
  6. Step 6: Final answer
    x = 2,109.49

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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.