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Finding the Fourth Proportional to 19,888.50, 27,446.13 and 11,509.86

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Solution

The fourth proportional to 19,888.50, 27,446.13 and 11,509.86 is: 15,883.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,888.50 : 27,446.13 = 11,509.86 : x
  2. Step 2: Convert to fraction form
    19,888.50/27,446.13 = 11,509.86/x
  3. Step 3: Cross multiply
    19,888.50x = 27,446.13 × 11,509.86
  4. Step 4: Simplify right side
    19,888.50x = 315,901,113.84
  5. Step 5: Solve for x
    x = 315,901,113.84/19,888.50
  6. Step 6: Final answer
    x = 15,883.61

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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.