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Finding the Fourth Proportional to 8,210.70, 12,291.21 and 5,291.10

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Solution

The fourth proportional to 8,210.70, 12,291.21 and 5,291.10 is: 7,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.70 : 12,291.21 = 5,291.10 : x
  2. Step 2: Convert to fraction form
    8,210.70/12,291.21 = 5,291.10/x
  3. Step 3: Cross multiply
    8,210.70x = 12,291.21 × 5,291.10
  4. Step 4: Simplify right side
    8,210.70x = 65,034,021.23
  5. Step 5: Solve for x
    x = 65,034,021.23/8,210.70
  6. Step 6: Final answer
    x = 7,920.64

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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.