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Finding the Fourth Proportional to 1,384.32, 1,909.76 and 832

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Solution

The fourth proportional to 1,384.32, 1,909.76 and 832 is: 1,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.32 : 1,909.76 = 832 : x
  2. Step 2: Convert to fraction form
    1,384.32/1,909.76 = 832/x
  3. Step 3: Cross multiply
    1,384.32x = 1,909.76 × 832
  4. Step 4: Simplify right side
    1,384.32x = 1,588,920.32
  5. Step 5: Solve for x
    x = 1,588,920.32/1,384.32
  6. Step 6: Final answer
    x = 1,147.80

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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.