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Finding the Fourth Proportional to 1,954.64, 2,929.37 and 857.63

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Solution

The fourth proportional to 1,954.64, 2,929.37 and 857.63 is: 1,285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.64 : 2,929.37 = 857.63 : x
  2. Step 2: Convert to fraction form
    1,954.64/2,929.37 = 857.63/x
  3. Step 3: Cross multiply
    1,954.64x = 2,929.37 × 857.63
  4. Step 4: Simplify right side
    1,954.64x = 2,512,296.66
  5. Step 5: Solve for x
    x = 2,512,296.66/1,954.64
  6. Step 6: Final answer
    x = 1,285.30

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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.