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Finding the Fourth Proportional to 8,273.20, 12,410.10 and 2,430.40

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Solution

The fourth proportional to 8,273.20, 12,410.10 and 2,430.40 is: 3,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.20 : 12,410.10 = 2,430.40 : x
  2. Step 2: Convert to fraction form
    8,273.20/12,410.10 = 2,430.40/x
  3. Step 3: Cross multiply
    8,273.20x = 12,410.10 × 2,430.40
  4. Step 4: Simplify right side
    8,273.20x = 30,161,507.04
  5. Step 5: Solve for x
    x = 30,161,507.04/8,273.20
  6. Step 6: Final answer
    x = 3,645.69

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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.