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Finding the Fourth Proportional to 1,995.71, 2,755.69 and 1,785.51

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Solution

The fourth proportional to 1,995.71, 2,755.69 and 1,785.51 is: 2,465.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.71 : 2,755.69 = 1,785.51 : x
  2. Step 2: Convert to fraction form
    1,995.71/2,755.69 = 1,785.51/x
  3. Step 3: Cross multiply
    1,995.71x = 2,755.69 × 1,785.51
  4. Step 4: Simplify right side
    1,995.71x = 4,920,307.59
  5. Step 5: Solve for x
    x = 4,920,307.59/1,995.71
  6. Step 6: Final answer
    x = 2,465.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.