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Finding the Fourth Proportional to 8,290.76, 12,463.47 and 7,682.04

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Solution

The fourth proportional to 8,290.76, 12,463.47 and 7,682.04 is: 11,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.76 : 12,463.47 = 7,682.04 : x
  2. Step 2: Convert to fraction form
    8,290.76/12,463.47 = 7,682.04/x
  3. Step 3: Cross multiply
    8,290.76x = 12,463.47 × 7,682.04
  4. Step 4: Simplify right side
    8,290.76x = 95,744,875.08
  5. Step 5: Solve for x
    x = 95,744,875.08/8,290.76
  6. Step 6: Final answer
    x = 11,548.39

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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.