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Finding the Fourth Proportional to 1,321.88, 1,823.46 and 1,041.08

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Solution

The fourth proportional to 1,321.88, 1,823.46 and 1,041.08 is: 1,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.88 : 1,823.46 = 1,041.08 : x
  2. Step 2: Convert to fraction form
    1,321.88/1,823.46 = 1,041.08/x
  3. Step 3: Cross multiply
    1,321.88x = 1,823.46 × 1,041.08
  4. Step 4: Simplify right side
    1,321.88x = 1,898,367.74
  5. Step 5: Solve for x
    x = 1,898,367.74/1,321.88
  6. Step 6: Final answer
    x = 1,436.11

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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.