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Finding the Fourth Proportional to 8,284.34, 12,426.52 and 3,089

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Solution

The fourth proportional to 8,284.34, 12,426.52 and 3,089 is: 4,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.34 : 12,426.52 = 3,089 : x
  2. Step 2: Convert to fraction form
    8,284.34/12,426.52 = 3,089/x
  3. Step 3: Cross multiply
    8,284.34x = 12,426.52 × 3,089
  4. Step 4: Simplify right side
    8,284.34x = 38,385,520.28
  5. Step 5: Solve for x
    x = 38,385,520.28/8,284.34
  6. Step 6: Final answer
    x = 4,633.50

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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.