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Finding the Fourth Proportional to 1,329.86, 1,833.10 and 1,049.64

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Solution

The fourth proportional to 1,329.86, 1,833.10 and 1,049.64 is: 1,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.86 : 1,833.10 = 1,049.64 : x
  2. Step 2: Convert to fraction form
    1,329.86/1,833.10 = 1,049.64/x
  3. Step 3: Cross multiply
    1,329.86x = 1,833.10 × 1,049.64
  4. Step 4: Simplify right side
    1,329.86x = 1,924,095.08
  5. Step 5: Solve for x
    x = 1,924,095.08/1,329.86
  6. Step 6: Final answer
    x = 1,446.84

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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.