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Finding the Fourth Proportional to 9,794.20, 14,689.80 and 3,220.40

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Solution

The fourth proportional to 9,794.20, 14,689.80 and 3,220.40 is: 4,830.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.20 : 14,689.80 = 3,220.40 : x
  2. Step 2: Convert to fraction form
    9,794.20/14,689.80 = 3,220.40/x
  3. Step 3: Cross multiply
    9,794.20x = 14,689.80 × 3,220.40
  4. Step 4: Simplify right side
    9,794.20x = 47,307,031.92
  5. Step 5: Solve for x
    x = 47,307,031.92/9,794.20
  6. Step 6: Final answer
    x = 4,830.11

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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.