Home / 1,406.11-2,107.35-756.10

Finding the Fourth Proportional to 1,406.11, 2,107.35 and 756.10

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Solution

The fourth proportional to 1,406.11, 2,107.35 and 756.10 is: 1,133.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.11 : 2,107.35 = 756.10 : x
  2. Step 2: Convert to fraction form
    1,406.11/2,107.35 = 756.10/x
  3. Step 3: Cross multiply
    1,406.11x = 2,107.35 × 756.10
  4. Step 4: Simplify right side
    1,406.11x = 1,593,367.34
  5. Step 5: Solve for x
    x = 1,593,367.34/1,406.11
  6. Step 6: Final answer
    x = 1,133.17

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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.