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Finding the Fourth Proportional to 8,641.44, 12,962.93 and 3,709.94

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Solution

The fourth proportional to 8,641.44, 12,962.93 and 3,709.94 is: 5,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.44 : 12,962.93 = 3,709.94 : x
  2. Step 2: Convert to fraction form
    8,641.44/12,962.93 = 3,709.94/x
  3. Step 3: Cross multiply
    8,641.44x = 12,962.93 × 3,709.94
  4. Step 4: Simplify right side
    8,641.44x = 48,091,609.16
  5. Step 5: Solve for x
    x = 48,091,609.16/8,641.44
  6. Step 6: Final answer
    x = 5,565.23

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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.