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Finding the Fourth Proportional to 6,443.28, 9,664.28 and 2,059.96

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Solution

The fourth proportional to 6,443.28, 9,664.28 and 2,059.96 is: 3,089.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.28 : 9,664.28 = 2,059.96 : x
  2. Step 2: Convert to fraction form
    6,443.28/9,664.28 = 2,059.96/x
  3. Step 3: Cross multiply
    6,443.28x = 9,664.28 × 2,059.96
  4. Step 4: Simplify right side
    6,443.28x = 19,908,030.23
  5. Step 5: Solve for x
    x = 19,908,030.23/6,443.28
  6. Step 6: Final answer
    x = 3,089.74

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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.