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Finding the Fourth Proportional to 8,321.84, 11,478.86 and 6,328.02

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Solution

The fourth proportional to 8,321.84, 11,478.86 and 6,328.02 is: 8,728.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.84 : 11,478.86 = 6,328.02 : x
  2. Step 2: Convert to fraction form
    8,321.84/11,478.86 = 6,328.02/x
  3. Step 3: Cross multiply
    8,321.84x = 11,478.86 × 6,328.02
  4. Step 4: Simplify right side
    8,321.84x = 72,638,514.52
  5. Step 5: Solve for x
    x = 72,638,514.52/8,321.84
  6. Step 6: Final answer
    x = 8,728.66

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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.