Home / 1,103.13-1,652.46-919.93

Finding the Fourth Proportional to 1,103.13, 1,652.46 and 919.93

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Solution

The fourth proportional to 1,103.13, 1,652.46 and 919.93 is: 1,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.13 : 1,652.46 = 919.93 : x
  2. Step 2: Convert to fraction form
    1,103.13/1,652.46 = 919.93/x
  3. Step 3: Cross multiply
    1,103.13x = 1,652.46 × 919.93
  4. Step 4: Simplify right side
    1,103.13x = 1,520,147.53
  5. Step 5: Solve for x
    x = 1,520,147.53/1,103.13
  6. Step 6: Final answer
    x = 1,378.03

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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.