Home / 1,406.99-2,107.64-1,178.16

Finding the Fourth Proportional to 1,406.99, 2,107.64 and 1,178.16

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Solution

The fourth proportional to 1,406.99, 2,107.64 and 1,178.16 is: 1,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.99 : 2,107.64 = 1,178.16 : x
  2. Step 2: Convert to fraction form
    1,406.99/2,107.64 = 1,178.16/x
  3. Step 3: Cross multiply
    1,406.99x = 2,107.64 × 1,178.16
  4. Step 4: Simplify right side
    1,406.99x = 2,483,140.09
  5. Step 5: Solve for x
    x = 2,483,140.09/1,406.99
  6. Step 6: Final answer
    x = 1,764.87

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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.