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Finding the Fourth Proportional to 8,196.72, 11,312 and 4,660.32

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Solution

The fourth proportional to 8,196.72, 11,312 and 4,660.32 is: 6,431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.72 : 11,312 = 4,660.32 : x
  2. Step 2: Convert to fraction form
    8,196.72/11,312 = 4,660.32/x
  3. Step 3: Cross multiply
    8,196.72x = 11,312 × 4,660.32
  4. Step 4: Simplify right side
    8,196.72x = 52,717,539.84
  5. Step 5: Solve for x
    x = 52,717,539.84/8,196.72
  6. Step 6: Final answer
    x = 6,431.54

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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.