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Finding the Fourth Proportional to 1,854.06, 2,781.02 and 1,807.56

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Solution

The fourth proportional to 1,854.06, 2,781.02 and 1,807.56 is: 2,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.06 : 2,781.02 = 1,807.56 : x
  2. Step 2: Convert to fraction form
    1,854.06/2,781.02 = 1,807.56/x
  3. Step 3: Cross multiply
    1,854.06x = 2,781.02 × 1,807.56
  4. Step 4: Simplify right side
    1,854.06x = 5,026,860.51
  5. Step 5: Solve for x
    x = 5,026,860.51/1,854.06
  6. Step 6: Final answer
    x = 2,711.27

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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.