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Finding the Fourth Proportional to 11,312.46, 16,954.70 and 8,203.14

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Solution

The fourth proportional to 11,312.46, 16,954.70 and 8,203.14 is: 12,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.46 : 16,954.70 = 8,203.14 : x
  2. Step 2: Convert to fraction form
    11,312.46/16,954.70 = 8,203.14/x
  3. Step 3: Cross multiply
    11,312.46x = 16,954.70 × 8,203.14
  4. Step 4: Simplify right side
    11,312.46x = 139,081,777.76
  5. Step 5: Solve for x
    x = 139,081,777.76/11,312.46
  6. Step 6: Final answer
    x = 12,294.57

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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.