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Finding the Fourth Proportional to 1,953.77, 2,931.34 and 857.99

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Solution

The fourth proportional to 1,953.77, 2,931.34 and 857.99 is: 1,287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.77 : 2,931.34 = 857.99 : x
  2. Step 2: Convert to fraction form
    1,953.77/2,931.34 = 857.99/x
  3. Step 3: Cross multiply
    1,953.77x = 2,931.34 × 857.99
  4. Step 4: Simplify right side
    1,953.77x = 2,515,067.20
  5. Step 5: Solve for x
    x = 2,515,067.20/1,953.77
  6. Step 6: Final answer
    x = 1,287.29

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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.