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Finding the Fourth Proportional to 7,692, 10,619.28 and 5,896.08

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Solution

The fourth proportional to 7,692, 10,619.28 and 5,896.08 is: 8,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692 : 10,619.28 = 5,896.08 : x
  2. Step 2: Convert to fraction form
    7,692/10,619.28 = 5,896.08/x
  3. Step 3: Cross multiply
    7,692x = 10,619.28 × 5,896.08
  4. Step 4: Simplify right side
    7,692x = 62,612,124.42
  5. Step 5: Solve for x
    x = 62,612,124.42/7,692
  6. Step 6: Final answer
    x = 8,139.90

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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.