Home / 1,535.96-2,302.14-919.28

Finding the Fourth Proportional to 1,535.96, 2,302.14 and 919.28

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Solution

The fourth proportional to 1,535.96, 2,302.14 and 919.28 is: 1,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.96 : 2,302.14 = 919.28 : x
  2. Step 2: Convert to fraction form
    1,535.96/2,302.14 = 919.28/x
  3. Step 3: Cross multiply
    1,535.96x = 2,302.14 × 919.28
  4. Step 4: Simplify right side
    1,535.96x = 2,116,311.26
  5. Step 5: Solve for x
    x = 2,116,311.26/1,535.96
  6. Step 6: Final answer
    x = 1,377.84

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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.