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Finding the Fourth Proportional to 2,653.28, 3,660 and 2,156.48

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Solution

The fourth proportional to 2,653.28, 3,660 and 2,156.48 is: 2,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.28 : 3,660 = 2,156.48 : x
  2. Step 2: Convert to fraction form
    2,653.28/3,660 = 2,156.48/x
  3. Step 3: Cross multiply
    2,653.28x = 3,660 × 2,156.48
  4. Step 4: Simplify right side
    2,653.28x = 7,892,716.80
  5. Step 5: Solve for x
    x = 7,892,716.80/2,653.28
  6. Step 6: Final answer
    x = 2,974.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.