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Finding the Fourth Proportional to 20,002.16, 30,000.16 and 6,851.52

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Solution

The fourth proportional to 20,002.16, 30,000.16 and 6,851.52 is: 10,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002.16 : 30,000.16 = 6,851.52 : x
  2. Step 2: Convert to fraction form
    20,002.16/30,000.16 = 6,851.52/x
  3. Step 3: Cross multiply
    20,002.16x = 30,000.16 × 6,851.52
  4. Step 4: Simplify right side
    20,002.16x = 205,546,696.24
  5. Step 5: Solve for x
    x = 205,546,696.24/20,002.16
  6. Step 6: Final answer
    x = 10,276.22

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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.