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Finding the Fourth Proportional to 9,911.32, 13,670.46 and 8,416.88

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Solution

The fourth proportional to 9,911.32, 13,670.46 and 8,416.88 is: 11,609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.32 : 13,670.46 = 8,416.88 : x
  2. Step 2: Convert to fraction form
    9,911.32/13,670.46 = 8,416.88/x
  3. Step 3: Cross multiply
    9,911.32x = 13,670.46 × 8,416.88
  4. Step 4: Simplify right side
    9,911.32x = 115,062,621.36
  5. Step 5: Solve for x
    x = 115,062,621.36/9,911.32
  6. Step 6: Final answer
    x = 11,609.21

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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.