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Finding the Fourth Proportional to 1,384.13, 1,909.71 and 852.84

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Solution

The fourth proportional to 1,384.13, 1,909.71 and 852.84 is: 1,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.13 : 1,909.71 = 852.84 : x
  2. Step 2: Convert to fraction form
    1,384.13/1,909.71 = 852.84/x
  3. Step 3: Cross multiply
    1,384.13x = 1,909.71 × 852.84
  4. Step 4: Simplify right side
    1,384.13x = 1,628,677.08
  5. Step 5: Solve for x
    x = 1,628,677.08/1,384.13
  6. Step 6: Final answer
    x = 1,176.68

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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.