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Finding the Fourth Proportional to 3,381.16, 5,070.24 and 1,189.24

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Solution

The fourth proportional to 3,381.16, 5,070.24 and 1,189.24 is: 1,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.16 : 5,070.24 = 1,189.24 : x
  2. Step 2: Convert to fraction form
    3,381.16/5,070.24 = 1,189.24/x
  3. Step 3: Cross multiply
    3,381.16x = 5,070.24 × 1,189.24
  4. Step 4: Simplify right side
    3,381.16x = 6,029,732.22
  5. Step 5: Solve for x
    x = 6,029,732.22/3,381.16
  6. Step 6: Final answer
    x = 1,783.33

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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.