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Finding the Fourth Proportional to 20,027.40, 30,041.10 and 9,640.20

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Solution

The fourth proportional to 20,027.40, 30,041.10 and 9,640.20 is: 14,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,027.40 : 30,041.10 = 9,640.20 : x
  2. Step 2: Convert to fraction form
    20,027.40/30,041.10 = 9,640.20/x
  3. Step 3: Cross multiply
    20,027.40x = 30,041.10 × 9,640.20
  4. Step 4: Simplify right side
    20,027.40x = 289,602,212.22
  5. Step 5: Solve for x
    x = 289,602,212.22/20,027.40
  6. Step 6: Final answer
    x = 14,460.30

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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.