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Finding the Fourth Proportional to 5,189.82, 7,784.16 and 2,070.24

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Solution

The fourth proportional to 5,189.82, 7,784.16 and 2,070.24 is: 3,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.82 : 7,784.16 = 2,070.24 : x
  2. Step 2: Convert to fraction form
    5,189.82/7,784.16 = 2,070.24/x
  3. Step 3: Cross multiply
    5,189.82x = 7,784.16 × 2,070.24
  4. Step 4: Simplify right side
    5,189.82x = 16,115,079.40
  5. Step 5: Solve for x
    x = 16,115,079.40/5,189.82
  6. Step 6: Final answer
    x = 3,105.13

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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.