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Finding the Fourth Proportional to 2,896.64, 3,996.16 and 1,653.76

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Solution

The fourth proportional to 2,896.64, 3,996.16 and 1,653.76 is: 2,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.64 : 3,996.16 = 1,653.76 : x
  2. Step 2: Convert to fraction form
    2,896.64/3,996.16 = 1,653.76/x
  3. Step 3: Cross multiply
    2,896.64x = 3,996.16 × 1,653.76
  4. Step 4: Simplify right side
    2,896.64x = 6,608,689.56
  5. Step 5: Solve for x
    x = 6,608,689.56/2,896.64
  6. Step 6: Final answer
    x = 2,281.50

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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.