Home / 2,285.65-3,429.56-824.95

Finding the Fourth Proportional to 2,285.65, 3,429.56 and 824.95

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Solution

The fourth proportional to 2,285.65, 3,429.56 and 824.95 is: 1,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.65 : 3,429.56 = 824.95 : x
  2. Step 2: Convert to fraction form
    2,285.65/3,429.56 = 824.95/x
  3. Step 3: Cross multiply
    2,285.65x = 3,429.56 × 824.95
  4. Step 4: Simplify right side
    2,285.65x = 2,829,215.52
  5. Step 5: Solve for x
    x = 2,829,215.52/2,285.65
  6. Step 6: Final answer
    x = 1,237.82

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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.