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Finding the Fourth Proportional to 30,469.80, 45,704.70 and 9,695.40

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Solution

The fourth proportional to 30,469.80, 45,704.70 and 9,695.40 is: 14,543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,469.80 : 45,704.70 = 9,695.40 : x
  2. Step 2: Convert to fraction form
    30,469.80/45,704.70 = 9,695.40/x
  3. Step 3: Cross multiply
    30,469.80x = 45,704.70 × 9,695.40
  4. Step 4: Simplify right side
    30,469.80x = 443,125,348.38
  5. Step 5: Solve for x
    x = 443,125,348.38/30,469.80
  6. Step 6: Final answer
    x = 14,543.10

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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.