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Finding the Fourth Proportional to 2,285.78, 3,428.70 and 824.90

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Solution

The fourth proportional to 2,285.78, 3,428.70 and 824.90 is: 1,237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.78 : 3,428.70 = 824.90 : x
  2. Step 2: Convert to fraction form
    2,285.78/3,428.70 = 824.90/x
  3. Step 3: Cross multiply
    2,285.78x = 3,428.70 × 824.90
  4. Step 4: Simplify right side
    2,285.78x = 2,828,334.63
  5. Step 5: Solve for x
    x = 2,828,334.63/2,285.78
  6. Step 6: Final answer
    x = 1,237.36

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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.