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Finding the Fourth Proportional to 12,847.77, 17,732.88 and 8,363.71

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Solution

The fourth proportional to 12,847.77, 17,732.88 and 8,363.71 is: 11,543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.77 : 17,732.88 = 8,363.71 : x
  2. Step 2: Convert to fraction form
    12,847.77/17,732.88 = 8,363.71/x
  3. Step 3: Cross multiply
    12,847.77x = 17,732.88 × 8,363.71
  4. Step 4: Simplify right side
    12,847.77x = 148,312,621.45
  5. Step 5: Solve for x
    x = 148,312,621.45/12,847.77
  6. Step 6: Final answer
    x = 11,543.84

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1.5x scale

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.