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Finding the Fourth Proportional to 1,342.11, 1,852.13 and 811.02

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Solution

The fourth proportional to 1,342.11, 1,852.13 and 811.02 is: 1,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.11 : 1,852.13 = 811.02 : x
  2. Step 2: Convert to fraction form
    1,342.11/1,852.13 = 811.02/x
  3. Step 3: Cross multiply
    1,342.11x = 1,852.13 × 811.02
  4. Step 4: Simplify right side
    1,342.11x = 1,502,114.47
  5. Step 5: Solve for x
    x = 1,502,114.47/1,342.11
  6. Step 6: Final answer
    x = 1,119.22

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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.