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Finding the Fourth Proportional to 1,371.66, 1,892.45 and 812.34

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Solution

The fourth proportional to 1,371.66, 1,892.45 and 812.34 is: 1,120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.66 : 1,892.45 = 812.34 : x
  2. Step 2: Convert to fraction form
    1,371.66/1,892.45 = 812.34/x
  3. Step 3: Cross multiply
    1,371.66x = 1,892.45 × 812.34
  4. Step 4: Simplify right side
    1,371.66x = 1,537,308.77
  5. Step 5: Solve for x
    x = 1,537,308.77/1,371.66
  6. Step 6: Final answer
    x = 1,120.77

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1.5x scale

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.