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Finding the Fourth Proportional to 8,861.35, 12,225.18 and 7,742.34

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Solution

The fourth proportional to 8,861.35, 12,225.18 and 7,742.34 is: 10,681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,861.35 : 12,225.18 = 7,742.34 : x
  2. Step 2: Convert to fraction form
    8,861.35/12,225.18 = 7,742.34/x
  3. Step 3: Cross multiply
    8,861.35x = 12,225.18 × 7,742.34
  4. Step 4: Simplify right side
    8,861.35x = 94,651,439.00
  5. Step 5: Solve for x
    x = 94,651,439.00/8,861.35
  6. Step 6: Final answer
    x = 10,681.38

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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.