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Finding the Fourth Proportional to 2,657.44, 3,985.35 and 2,136.21

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Solution

The fourth proportional to 2,657.44, 3,985.35 and 2,136.21 is: 3,203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.44 : 3,985.35 = 2,136.21 : x
  2. Step 2: Convert to fraction form
    2,657.44/3,985.35 = 2,136.21/x
  3. Step 3: Cross multiply
    2,657.44x = 3,985.35 × 2,136.21
  4. Step 4: Simplify right side
    2,657.44x = 8,513,533.58
  5. Step 5: Solve for x
    x = 8,513,533.58/2,657.44
  6. Step 6: Final answer
    x = 3,203.66

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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.