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Finding the Fourth Proportional to 1,596, 2,392.38 and 815.52

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Solution

The fourth proportional to 1,596, 2,392.38 and 815.52 is: 1,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596 : 2,392.38 = 815.52 : x
  2. Step 2: Convert to fraction form
    1,596/2,392.38 = 815.52/x
  3. Step 3: Cross multiply
    1,596x = 2,392.38 × 815.52
  4. Step 4: Simplify right side
    1,596x = 1,951,033.74
  5. Step 5: Solve for x
    x = 1,951,033.74/1,596
  6. Step 6: Final answer
    x = 1,222.45

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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.