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Finding the Fourth Proportional to 2,646.55, 3,971.04 and 2,602.81

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Solution

The fourth proportional to 2,646.55, 3,971.04 and 2,602.81 is: 3,905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.55 : 3,971.04 = 2,602.81 : x
  2. Step 2: Convert to fraction form
    2,646.55/3,971.04 = 2,602.81/x
  3. Step 3: Cross multiply
    2,646.55x = 3,971.04 × 2,602.81
  4. Step 4: Simplify right side
    2,646.55x = 10,335,862.62
  5. Step 5: Solve for x
    x = 10,335,862.62/2,646.55
  6. Step 6: Final answer
    x = 3,905.41

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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.