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Finding the Fourth Proportional to 9,923.15, 13,691.15 and 6,388.41

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Solution

The fourth proportional to 9,923.15, 13,691.15 and 6,388.41 is: 8,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.15 : 13,691.15 = 6,388.41 : x
  2. Step 2: Convert to fraction form
    9,923.15/13,691.15 = 6,388.41/x
  3. Step 3: Cross multiply
    9,923.15x = 13,691.15 × 6,388.41
  4. Step 4: Simplify right side
    9,923.15x = 87,464,647.63
  5. Step 5: Solve for x
    x = 87,464,647.63/9,923.15
  6. Step 6: Final answer
    x = 8,814.20

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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.