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Finding the Fourth Proportional to 1,322.65, 1,823.15 and 1,042.43

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Solution

The fourth proportional to 1,322.65, 1,823.15 and 1,042.43 is: 1,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.65 : 1,823.15 = 1,042.43 : x
  2. Step 2: Convert to fraction form
    1,322.65/1,823.15 = 1,042.43/x
  3. Step 3: Cross multiply
    1,322.65x = 1,823.15 × 1,042.43
  4. Step 4: Simplify right side
    1,322.65x = 1,900,501.04
  5. Step 5: Solve for x
    x = 1,900,501.04/1,322.65
  6. Step 6: Final answer
    x = 1,436.89

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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.