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Finding the Fourth Proportional to 1,384.87, 1,910.26 and 824.96

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Solution

The fourth proportional to 1,384.87, 1,910.26 and 824.96 is: 1,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.87 : 1,910.26 = 824.96 : x
  2. Step 2: Convert to fraction form
    1,384.87/1,910.26 = 824.96/x
  3. Step 3: Cross multiply
    1,384.87x = 1,910.26 × 824.96
  4. Step 4: Simplify right side
    1,384.87x = 1,575,888.09
  5. Step 5: Solve for x
    x = 1,575,888.09/1,384.87
  6. Step 6: Final answer
    x = 1,137.93

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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.