Home / 1,520.24-2,097.09-929.75

Finding the Fourth Proportional to 1,520.24, 2,097.09 and 929.75

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Solution

The fourth proportional to 1,520.24, 2,097.09 and 929.75 is: 1,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.24 : 2,097.09 = 929.75 : x
  2. Step 2: Convert to fraction form
    1,520.24/2,097.09 = 929.75/x
  3. Step 3: Cross multiply
    1,520.24x = 2,097.09 × 929.75
  4. Step 4: Simplify right side
    1,520.24x = 1,949,758.94
  5. Step 5: Solve for x
    x = 1,949,758.94/1,520.24
  6. Step 6: Final answer
    x = 1,282.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.