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Finding the Fourth Proportional to 1,857.86, 2,785.73 and 761.63

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Solution

The fourth proportional to 1,857.86, 2,785.73 and 761.63 is: 1,142.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.86 : 2,785.73 = 761.63 : x
  2. Step 2: Convert to fraction form
    1,857.86/2,785.73 = 761.63/x
  3. Step 3: Cross multiply
    1,857.86x = 2,785.73 × 761.63
  4. Step 4: Simplify right side
    1,857.86x = 2,121,677.80
  5. Step 5: Solve for x
    x = 2,121,677.80/1,857.86
  6. Step 6: Final answer
    x = 1,142.00

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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.