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Finding the Fourth Proportional to 11,465.57, 17,197.14 and 8,119.87

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Solution

The fourth proportional to 11,465.57, 17,197.14 and 8,119.87 is: 12,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.57 : 17,197.14 = 8,119.87 : x
  2. Step 2: Convert to fraction form
    11,465.57/17,197.14 = 8,119.87/x
  3. Step 3: Cross multiply
    11,465.57x = 17,197.14 × 8,119.87
  4. Step 4: Simplify right side
    11,465.57x = 139,638,541.17
  5. Step 5: Solve for x
    x = 139,638,541.17/11,465.57
  6. Step 6: Final answer
    x = 12,178.94

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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.