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Finding the Fourth Proportional to 1,953.30, 2,930.46 and 857.88

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Solution

The fourth proportional to 1,953.30, 2,930.46 and 857.88 is: 1,287.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.30 : 2,930.46 = 857.88 : x
  2. Step 2: Convert to fraction form
    1,953.30/2,930.46 = 857.88/x
  3. Step 3: Cross multiply
    1,953.30x = 2,930.46 × 857.88
  4. Step 4: Simplify right side
    1,953.30x = 2,513,983.02
  5. Step 5: Solve for x
    x = 2,513,983.02/1,953.30
  6. Step 6: Final answer
    x = 1,287.04

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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.