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Finding the Fourth Proportional to 5,664.64, 8,497.68 and 1,768.72

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Solution

The fourth proportional to 5,664.64, 8,497.68 and 1,768.72 is: 2,653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.64 : 8,497.68 = 1,768.72 : x
  2. Step 2: Convert to fraction form
    5,664.64/8,497.68 = 1,768.72/x
  3. Step 3: Cross multiply
    5,664.64x = 8,497.68 × 1,768.72
  4. Step 4: Simplify right side
    5,664.64x = 15,030,016.57
  5. Step 5: Solve for x
    x = 15,030,016.57/5,664.64
  6. Step 6: Final answer
    x = 2,653.30

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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.