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Finding the Fourth Proportional to 2,159.04, 3,237.78 and 824.54

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Solution

The fourth proportional to 2,159.04, 3,237.78 and 824.54 is: 1,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.04 : 3,237.78 = 824.54 : x
  2. Step 2: Convert to fraction form
    2,159.04/3,237.78 = 824.54/x
  3. Step 3: Cross multiply
    2,159.04x = 3,237.78 × 824.54
  4. Step 4: Simplify right side
    2,159.04x = 2,669,679.12
  5. Step 5: Solve for x
    x = 2,669,679.12/2,159.04
  6. Step 6: Final answer
    x = 1,236.51

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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.