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Finding the Fourth Proportional to 20,168.46, 30,187.80 and 10,785

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Solution

The fourth proportional to 20,168.46, 30,187.80 and 10,785 is: 16,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,168.46 : 30,187.80 = 10,785 : x
  2. Step 2: Convert to fraction form
    20,168.46/30,187.80 = 10,785/x
  3. Step 3: Cross multiply
    20,168.46x = 30,187.80 × 10,785
  4. Step 4: Simplify right side
    20,168.46x = 325,575,423
  5. Step 5: Solve for x
    x = 325,575,423/20,168.46
  6. Step 6: Final answer
    x = 16,142.80

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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.