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Finding the Fourth Proportional to 9,819.40, 14,729.10 and 5,672.20

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Solution

The fourth proportional to 9,819.40, 14,729.10 and 5,672.20 is: 8,508.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.40 : 14,729.10 = 5,672.20 : x
  2. Step 2: Convert to fraction form
    9,819.40/14,729.10 = 5,672.20/x
  3. Step 3: Cross multiply
    9,819.40x = 14,729.10 × 5,672.20
  4. Step 4: Simplify right side
    9,819.40x = 83,546,401.02
  5. Step 5: Solve for x
    x = 83,546,401.02/9,819.40
  6. Step 6: Final answer
    x = 8,508.30

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1.5x scale

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.