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Finding the Fourth Proportional to 20,442, 30,484.10 and 20,255.16

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Solution

The fourth proportional to 20,442, 30,484.10 and 20,255.16 is: 30,205.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,442 : 30,484.10 = 20,255.16 : x
  2. Step 2: Convert to fraction form
    20,442/30,484.10 = 20,255.16/x
  3. Step 3: Cross multiply
    20,442x = 30,484.10 × 20,255.16
  4. Step 4: Simplify right side
    20,442x = 617,460,221.68
  5. Step 5: Solve for x
    x = 617,460,221.68/20,442
  6. Step 6: Final answer
    x = 30,205.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.