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Finding the Fourth Proportional to 2,802.72, 3,865.32 and 1,807.68

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Solution

The fourth proportional to 2,802.72, 3,865.32 and 1,807.68 is: 2,493.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.72 : 3,865.32 = 1,807.68 : x
  2. Step 2: Convert to fraction form
    2,802.72/3,865.32 = 1,807.68/x
  3. Step 3: Cross multiply
    2,802.72x = 3,865.32 × 1,807.68
  4. Step 4: Simplify right side
    2,802.72x = 6,987,261.66
  5. Step 5: Solve for x
    x = 6,987,261.66/2,802.72
  6. Step 6: Final answer
    x = 2,493.03

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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.