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Finding the Fourth Proportional to 8,416.00, 11,612.06 and 5,431.20

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Solution

The fourth proportional to 8,416.00, 11,612.06 and 5,431.20 is: 7,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.00 : 11,612.06 = 5,431.20 : x
  2. Step 2: Convert to fraction form
    8,416.00/11,612.06 = 5,431.20/x
  3. Step 3: Cross multiply
    8,416.00x = 11,612.06 × 5,431.20
  4. Step 4: Simplify right side
    8,416.00x = 63,067,435.26
  5. Step 5: Solve for x
    x = 63,067,435.26/8,416.00
  6. Step 6: Final answer
    x = 7,493.75

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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.