Home / 2,285.24-3,429.47-824.40

Finding the Fourth Proportional to 2,285.24, 3,429.47 and 824.40

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Solution

The fourth proportional to 2,285.24, 3,429.47 and 824.40 is: 1,237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.24 : 3,429.47 = 824.40 : x
  2. Step 2: Convert to fraction form
    2,285.24/3,429.47 = 824.40/x
  3. Step 3: Cross multiply
    2,285.24x = 3,429.47 × 824.40
  4. Step 4: Simplify right side
    2,285.24x = 2,827,257.13
  5. Step 5: Solve for x
    x = 2,827,257.13/2,285.24
  6. Step 6: Final answer
    x = 1,237.18

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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.