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Finding the Fourth Proportional to 2,656.90, 3,985.21 and 807.97

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Solution

The fourth proportional to 2,656.90, 3,985.21 and 807.97 is: 1,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.90 : 3,985.21 = 807.97 : x
  2. Step 2: Convert to fraction form
    2,656.90/3,985.21 = 807.97/x
  3. Step 3: Cross multiply
    2,656.90x = 3,985.21 × 807.97
  4. Step 4: Simplify right side
    2,656.90x = 3,219,926.08
  5. Step 5: Solve for x
    x = 3,219,926.08/2,656.90
  6. Step 6: Final answer
    x = 1,211.91

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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.