Home / 1,640.24-2,460.38-914.42

Finding the Fourth Proportional to 1,640.24, 2,460.38 and 914.42

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Solution

The fourth proportional to 1,640.24, 2,460.38 and 914.42 is: 1,371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.24 : 2,460.38 = 914.42 : x
  2. Step 2: Convert to fraction form
    1,640.24/2,460.38 = 914.42/x
  3. Step 3: Cross multiply
    1,640.24x = 2,460.38 × 914.42
  4. Step 4: Simplify right side
    1,640.24x = 2,249,822.26
  5. Step 5: Solve for x
    x = 2,249,822.26/1,640.24
  6. Step 6: Final answer
    x = 1,371.65

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1.5x scale

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.