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Finding the Fourth Proportional to 8,513.14, 12,798.88 and 7,871.62

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Solution

The fourth proportional to 8,513.14, 12,798.88 and 7,871.62 is: 11,834.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.14 : 12,798.88 = 7,871.62 : x
  2. Step 2: Convert to fraction form
    8,513.14/12,798.88 = 7,871.62/x
  3. Step 3: Cross multiply
    8,513.14x = 12,798.88 × 7,871.62
  4. Step 4: Simplify right side
    8,513.14x = 100,747,919.79
  5. Step 5: Solve for x
    x = 100,747,919.79/8,513.14
  6. Step 6: Final answer
    x = 11,834.40

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1.5x scale

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.