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Finding the Fourth Proportional to 1,383.90, 1,909.99 and 824.42

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Solution

The fourth proportional to 1,383.90, 1,909.99 and 824.42 is: 1,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.90 : 1,909.99 = 824.42 : x
  2. Step 2: Convert to fraction form
    1,383.90/1,909.99 = 824.42/x
  3. Step 3: Cross multiply
    1,383.90x = 1,909.99 × 824.42
  4. Step 4: Simplify right side
    1,383.90x = 1,574,633.96
  5. Step 5: Solve for x
    x = 1,574,633.96/1,383.90
  6. Step 6: Final answer
    x = 1,137.82

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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.