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Finding the Fourth Proportional to 8,521.68, 12,784.26 and 3,256.32

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Solution

The fourth proportional to 8,521.68, 12,784.26 and 3,256.32 is: 4,885.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.68 : 12,784.26 = 3,256.32 : x
  2. Step 2: Convert to fraction form
    8,521.68/12,784.26 = 3,256.32/x
  3. Step 3: Cross multiply
    8,521.68x = 12,784.26 × 3,256.32
  4. Step 4: Simplify right side
    8,521.68x = 41,629,641.52
  5. Step 5: Solve for x
    x = 41,629,641.52/8,521.68
  6. Step 6: Final answer
    x = 4,885.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.