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Finding the Fourth Proportional to 2,580.28, 3,869.23 and 824.94

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Solution

The fourth proportional to 2,580.28, 3,869.23 and 824.94 is: 1,237.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.28 : 3,869.23 = 824.94 : x
  2. Step 2: Convert to fraction form
    2,580.28/3,869.23 = 824.94/x
  3. Step 3: Cross multiply
    2,580.28x = 3,869.23 × 824.94
  4. Step 4: Simplify right side
    2,580.28x = 3,191,884.66
  5. Step 5: Solve for x
    x = 3,191,884.66/2,580.28
  6. Step 6: Final answer
    x = 1,237.03

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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.