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Finding the Fourth Proportional to 2,656.35, 3,984.93 and 807.39

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Solution

The fourth proportional to 2,656.35, 3,984.93 and 807.39 is: 1,211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.35 : 3,984.93 = 807.39 : x
  2. Step 2: Convert to fraction form
    2,656.35/3,984.93 = 807.39/x
  3. Step 3: Cross multiply
    2,656.35x = 3,984.93 × 807.39
  4. Step 4: Simplify right side
    2,656.35x = 3,217,392.63
  5. Step 5: Solve for x
    x = 3,217,392.63/2,656.35
  6. Step 6: Final answer
    x = 1,211.21

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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.