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Finding the Fourth Proportional to 8,643.69, 12,956.30 and 6,171.01

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Solution

The fourth proportional to 8,643.69, 12,956.30 and 6,171.01 is: 9,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.69 : 12,956.30 = 6,171.01 : x
  2. Step 2: Convert to fraction form
    8,643.69/12,956.30 = 6,171.01/x
  3. Step 3: Cross multiply
    8,643.69x = 12,956.30 × 6,171.01
  4. Step 4: Simplify right side
    8,643.69x = 79,953,487.91
  5. Step 5: Solve for x
    x = 79,953,487.91/8,643.69
  6. Step 6: Final answer
    x = 9,249.93

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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.