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Finding the Fourth Proportional to 9,689.96, 14,533.86 and 2,764.28

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Solution

The fourth proportional to 9,689.96, 14,533.86 and 2,764.28 is: 4,146.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.96 : 14,533.86 = 2,764.28 : x
  2. Step 2: Convert to fraction form
    9,689.96/14,533.86 = 2,764.28/x
  3. Step 3: Cross multiply
    9,689.96x = 14,533.86 × 2,764.28
  4. Step 4: Simplify right side
    9,689.96x = 40,175,658.52
  5. Step 5: Solve for x
    x = 40,175,658.52/9,689.96
  6. Step 6: Final answer
    x = 4,146.11

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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.