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Finding the Fourth Proportional to 1,523.54, 2,102.47 and 824.92

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Solution

The fourth proportional to 1,523.54, 2,102.47 and 824.92 is: 1,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.54 : 2,102.47 = 824.92 : x
  2. Step 2: Convert to fraction form
    1,523.54/2,102.47 = 824.92/x
  3. Step 3: Cross multiply
    1,523.54x = 2,102.47 × 824.92
  4. Step 4: Simplify right side
    1,523.54x = 1,734,362.23
  5. Step 5: Solve for x
    x = 1,734,362.23/1,523.54
  6. Step 6: Final answer
    x = 1,138.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.