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Finding the Fourth Proportional to 5,207.40, 7,819.20 and 3,020.40

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Solution

The fourth proportional to 5,207.40, 7,819.20 and 3,020.40 is: 4,535.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.40 : 7,819.20 = 3,020.40 : x
  2. Step 2: Convert to fraction form
    5,207.40/7,819.20 = 3,020.40/x
  3. Step 3: Cross multiply
    5,207.40x = 7,819.20 × 3,020.40
  4. Step 4: Simplify right side
    5,207.40x = 23,617,111.68
  5. Step 5: Solve for x
    x = 23,617,111.68/5,207.40
  6. Step 6: Final answer
    x = 4,535.30

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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.