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Finding the Fourth Proportional to 20,145, 30,195.90 and 9,733.80

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Solution

The fourth proportional to 20,145, 30,195.90 and 9,733.80 is: 14,590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,145 : 30,195.90 = 9,733.80 : x
  2. Step 2: Convert to fraction form
    20,145/30,195.90 = 9,733.80/x
  3. Step 3: Cross multiply
    20,145x = 30,195.90 × 9,733.80
  4. Step 4: Simplify right side
    20,145x = 293,920,851.42
  5. Step 5: Solve for x
    x = 293,920,851.42/20,145
  6. Step 6: Final answer
    x = 14,590.26

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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.