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Finding the Fourth Proportional to 8,210.16, 12,320.10 and 3,019.68

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Solution

The fourth proportional to 8,210.16, 12,320.10 and 3,019.68 is: 4,531.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.16 : 12,320.10 = 3,019.68 : x
  2. Step 2: Convert to fraction form
    8,210.16/12,320.10 = 3,019.68/x
  3. Step 3: Cross multiply
    8,210.16x = 12,320.10 × 3,019.68
  4. Step 4: Simplify right side
    8,210.16x = 37,202,759.57
  5. Step 5: Solve for x
    x = 37,202,759.57/8,210.16
  6. Step 6: Final answer
    x = 4,531.31

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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.