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Finding the Fourth Proportional to 8,563.84, 12,816.52 and 7,178.72

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Solution

The fourth proportional to 8,563.84, 12,816.52 and 7,178.72 is: 10,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.84 : 12,816.52 = 7,178.72 : x
  2. Step 2: Convert to fraction form
    8,563.84/12,816.52 = 7,178.72/x
  3. Step 3: Cross multiply
    8,563.84x = 12,816.52 × 7,178.72
  4. Step 4: Simplify right side
    8,563.84x = 92,006,208.45
  5. Step 5: Solve for x
    x = 92,006,208.45/8,563.84
  6. Step 6: Final answer
    x = 10,743.57

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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.