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Finding the Fourth Proportional to 8,159.94, 12,214.80 and 6,585.30

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Solution

The fourth proportional to 8,159.94, 12,214.80 and 6,585.30 is: 9,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.94 : 12,214.80 = 6,585.30 : x
  2. Step 2: Convert to fraction form
    8,159.94/12,214.80 = 6,585.30/x
  3. Step 3: Cross multiply
    8,159.94x = 12,214.80 × 6,585.30
  4. Step 4: Simplify right side
    8,159.94x = 80,438,122.44
  5. Step 5: Solve for x
    x = 80,438,122.44/8,159.94
  6. Step 6: Final answer
    x = 9,857.69

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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.