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Finding the Fourth Proportional to 11,448.86, 15,789.75 and 7,906.46

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Solution

The fourth proportional to 11,448.86, 15,789.75 and 7,906.46 is: 10,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.86 : 15,789.75 = 7,906.46 : x
  2. Step 2: Convert to fraction form
    11,448.86/15,789.75 = 7,906.46/x
  3. Step 3: Cross multiply
    11,448.86x = 15,789.75 × 7,906.46
  4. Step 4: Simplify right side
    11,448.86x = 124,841,026.79
  5. Step 5: Solve for x
    x = 124,841,026.79/11,448.86
  6. Step 6: Final answer
    x = 10,904.23

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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.