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Finding the Fourth Proportional to 1,283.30, 1,921.47 and 892.47

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Solution

The fourth proportional to 1,283.30, 1,921.47 and 892.47 is: 1,336.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.30 : 1,921.47 = 892.47 : x
  2. Step 2: Convert to fraction form
    1,283.30/1,921.47 = 892.47/x
  3. Step 3: Cross multiply
    1,283.30x = 1,921.47 × 892.47
  4. Step 4: Simplify right side
    1,283.30x = 1,714,854.33
  5. Step 5: Solve for x
    x = 1,714,854.33/1,283.30
  6. Step 6: Final answer
    x = 1,336.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.