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Finding the Fourth Proportional to 1,312.11, 1,811.07 and 839.97

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Solution

The fourth proportional to 1,312.11, 1,811.07 and 839.97 is: 1,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.11 : 1,811.07 = 839.97 : x
  2. Step 2: Convert to fraction form
    1,312.11/1,811.07 = 839.97/x
  3. Step 3: Cross multiply
    1,312.11x = 1,811.07 × 839.97
  4. Step 4: Simplify right side
    1,312.11x = 1,521,244.47
  5. Step 5: Solve for x
    x = 1,521,244.47/1,312.11
  6. Step 6: Final answer
    x = 1,159.39

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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.