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Finding the Fourth Proportional to 1,953.07, 2,929.28 and 857.14

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Solution

The fourth proportional to 1,953.07, 2,929.28 and 857.14 is: 1,285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.07 : 2,929.28 = 857.14 : x
  2. Step 2: Convert to fraction form
    1,953.07/2,929.28 = 857.14/x
  3. Step 3: Cross multiply
    1,953.07x = 2,929.28 × 857.14
  4. Step 4: Simplify right side
    1,953.07x = 2,510,791.45
  5. Step 5: Solve for x
    x = 2,510,791.45/1,953.07
  6. Step 6: Final answer
    x = 1,285.56

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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.