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Finding the Fourth Proportional to 2,602.82, 3,580.98 and 2,272.01

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Solution

The fourth proportional to 2,602.82, 3,580.98 and 2,272.01 is: 3,125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.82 : 3,580.98 = 2,272.01 : x
  2. Step 2: Convert to fraction form
    2,602.82/3,580.98 = 2,272.01/x
  3. Step 3: Cross multiply
    2,602.82x = 3,580.98 × 2,272.01
  4. Step 4: Simplify right side
    2,602.82x = 8,136,022.37
  5. Step 5: Solve for x
    x = 8,136,022.37/2,602.82
  6. Step 6: Final answer
    x = 3,125.85

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1.5x scale

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.