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Finding the Fourth Proportional to 9,714.80, 13,401.60 and 8,388.20

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Solution

The fourth proportional to 9,714.80, 13,401.60 and 8,388.20 is: 11,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.80 : 13,401.60 = 8,388.20 : x
  2. Step 2: Convert to fraction form
    9,714.80/13,401.60 = 8,388.20/x
  3. Step 3: Cross multiply
    9,714.80x = 13,401.60 × 8,388.20
  4. Step 4: Simplify right side
    9,714.80x = 112,415,301.12
  5. Step 5: Solve for x
    x = 112,415,301.12/9,714.80
  6. Step 6: Final answer
    x = 11,571.55

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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.