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Finding the Fourth Proportional to 9,312, 12,847.68 and 6,169.92

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Solution

The fourth proportional to 9,312, 12,847.68 and 6,169.92 is: 8,512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312 : 12,847.68 = 6,169.92 : x
  2. Step 2: Convert to fraction form
    9,312/12,847.68 = 6,169.92/x
  3. Step 3: Cross multiply
    9,312x = 12,847.68 × 6,169.92
  4. Step 4: Simplify right side
    9,312x = 79,269,157.79
  5. Step 5: Solve for x
    x = 79,269,157.79/9,312
  6. Step 6: Final answer
    x = 8,512.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.