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Finding the Fourth Proportional to 8,113.01, 12,186.78 and 7,638.99

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Solution

The fourth proportional to 8,113.01, 12,186.78 and 7,638.99 is: 11,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.01 : 12,186.78 = 7,638.99 : x
  2. Step 2: Convert to fraction form
    8,113.01/12,186.78 = 7,638.99/x
  3. Step 3: Cross multiply
    8,113.01x = 12,186.78 × 7,638.99
  4. Step 4: Simplify right side
    8,113.01x = 93,094,690.55
  5. Step 5: Solve for x
    x = 93,094,690.55/8,113.01
  6. Step 6: Final answer
    x = 11,474.75

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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.