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Finding the Fourth Proportional to 11,616.12, 16,030.32 and 6,311

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Solution

The fourth proportional to 11,616.12, 16,030.32 and 6,311 is: 8,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.12 : 16,030.32 = 6,311 : x
  2. Step 2: Convert to fraction form
    11,616.12/16,030.32 = 6,311/x
  3. Step 3: Cross multiply
    11,616.12x = 16,030.32 × 6,311
  4. Step 4: Simplify right side
    11,616.12x = 101,167,349.52
  5. Step 5: Solve for x
    x = 101,167,349.52/11,616.12
  6. Step 6: Final answer
    x = 8,709.22

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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.