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Finding the Fourth Proportional to 2,652.15, 3,655.22 and 2,156.43

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Solution

The fourth proportional to 2,652.15, 3,655.22 and 2,156.43 is: 2,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.15 : 3,655.22 = 2,156.43 : x
  2. Step 2: Convert to fraction form
    2,652.15/3,655.22 = 2,156.43/x
  3. Step 3: Cross multiply
    2,652.15x = 3,655.22 × 2,156.43
  4. Step 4: Simplify right side
    2,652.15x = 7,882,215.28
  5. Step 5: Solve for x
    x = 7,882,215.28/2,652.15
  6. Step 6: Final answer
    x = 2,972.01

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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.