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Finding the Fourth Proportional to 8,263.63, 12,416.97 and 7,723.72

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Solution

The fourth proportional to 8,263.63, 12,416.97 and 7,723.72 is: 11,605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.63 : 12,416.97 = 7,723.72 : x
  2. Step 2: Convert to fraction form
    8,263.63/12,416.97 = 7,723.72/x
  3. Step 3: Cross multiply
    8,263.63x = 12,416.97 × 7,723.72
  4. Step 4: Simplify right side
    8,263.63x = 95,905,199.53
  5. Step 5: Solve for x
    x = 95,905,199.53/8,263.63
  6. Step 6: Final answer
    x = 11,605.70

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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.