Home / 1,857.07-2,785.61-761.95

Finding the Fourth Proportional to 1,857.07, 2,785.61 and 761.95

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Solution

The fourth proportional to 1,857.07, 2,785.61 and 761.95 is: 1,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.07 : 2,785.61 = 761.95 : x
  2. Step 2: Convert to fraction form
    1,857.07/2,785.61 = 761.95/x
  3. Step 3: Cross multiply
    1,857.07x = 2,785.61 × 761.95
  4. Step 4: Simplify right side
    1,857.07x = 2,122,495.54
  5. Step 5: Solve for x
    x = 2,122,495.54/1,857.07
  6. Step 6: Final answer
    x = 1,142.93

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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.