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Finding the Fourth Proportional to 9,994.47, 13,793.54 and 8,312.91

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Solution

The fourth proportional to 9,994.47, 13,793.54 and 8,312.91 is: 11,472.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.47 : 13,793.54 = 8,312.91 : x
  2. Step 2: Convert to fraction form
    9,994.47/13,793.54 = 8,312.91/x
  3. Step 3: Cross multiply
    9,994.47x = 13,793.54 × 8,312.91
  4. Step 4: Simplify right side
    9,994.47x = 114,664,456.60
  5. Step 5: Solve for x
    x = 114,664,456.60/9,994.47
  6. Step 6: Final answer
    x = 11,472.79

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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.