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Finding the Fourth Proportional to 11,617.86, 17,439.08 and 7,238.40

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Solution

The fourth proportional to 11,617.86, 17,439.08 and 7,238.40 is: 10,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.86 : 17,439.08 = 7,238.40 : x
  2. Step 2: Convert to fraction form
    11,617.86/17,439.08 = 7,238.40/x
  3. Step 3: Cross multiply
    11,617.86x = 17,439.08 × 7,238.40
  4. Step 4: Simplify right side
    11,617.86x = 126,231,000.48
  5. Step 5: Solve for x
    x = 126,231,000.48/11,617.86
  6. Step 6: Final answer
    x = 10,865.25

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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.