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Finding the Fourth Proportional to 9,213.74, 12,720.93 and 6,347.30

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Solution

The fourth proportional to 9,213.74, 12,720.93 and 6,347.30 is: 8,763.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.74 : 12,720.93 = 6,347.30 : x
  2. Step 2: Convert to fraction form
    9,213.74/12,720.93 = 6,347.30/x
  3. Step 3: Cross multiply
    9,213.74x = 12,720.93 × 6,347.30
  4. Step 4: Simplify right side
    9,213.74x = 80,743,558.99
  5. Step 5: Solve for x
    x = 80,743,558.99/9,213.74
  6. Step 6: Final answer
    x = 8,763.39

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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.