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Finding the Fourth Proportional to 11,937.54, 16,471.08 and 7,221.72

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Solution

The fourth proportional to 11,937.54, 16,471.08 and 7,221.72 is: 9,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.54 : 16,471.08 = 7,221.72 : x
  2. Step 2: Convert to fraction form
    11,937.54/16,471.08 = 7,221.72/x
  3. Step 3: Cross multiply
    11,937.54x = 16,471.08 × 7,221.72
  4. Step 4: Simplify right side
    11,937.54x = 118,949,527.86
  5. Step 5: Solve for x
    x = 118,949,527.86/11,937.54
  6. Step 6: Final answer
    x = 9,964.32

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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.