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Finding the Fourth Proportional to 8,143.93, 11,238.12 and 7,905.07

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Solution

The fourth proportional to 8,143.93, 11,238.12 and 7,905.07 is: 10,908.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.93 : 11,238.12 = 7,905.07 : x
  2. Step 2: Convert to fraction form
    8,143.93/11,238.12 = 7,905.07/x
  3. Step 3: Cross multiply
    8,143.93x = 11,238.12 × 7,905.07
  4. Step 4: Simplify right side
    8,143.93x = 88,838,125.27
  5. Step 5: Solve for x
    x = 88,838,125.27/8,143.93
  6. Step 6: Final answer
    x = 10,908.51

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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.