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Finding the Fourth Proportional to 8,861.85, 12,225.87 and 7,742.84

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Solution

The fourth proportional to 8,861.85, 12,225.87 and 7,742.84 is: 10,682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,861.85 : 12,225.87 = 7,742.84 : x
  2. Step 2: Convert to fraction form
    8,861.85/12,225.87 = 7,742.84/x
  3. Step 3: Cross multiply
    8,861.85x = 12,225.87 × 7,742.84
  4. Step 4: Simplify right side
    8,861.85x = 94,662,955.27
  5. Step 5: Solve for x
    x = 94,662,955.27/8,861.85
  6. Step 6: Final answer
    x = 10,682.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.