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Finding the Fourth Proportional to 1,384.04, 1,909.84 and 824.44

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Solution

The fourth proportional to 1,384.04, 1,909.84 and 824.44 is: 1,137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.04 : 1,909.84 = 824.44 : x
  2. Step 2: Convert to fraction form
    1,384.04/1,909.84 = 824.44/x
  3. Step 3: Cross multiply
    1,384.04x = 1,909.84 × 824.44
  4. Step 4: Simplify right side
    1,384.04x = 1,574,548.49
  5. Step 5: Solve for x
    x = 1,574,548.49/1,384.04
  6. Step 6: Final answer
    x = 1,137.65

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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.