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Finding the Fourth Proportional to 2,139.14, 3,186.19 and 2,004.14

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Solution

The fourth proportional to 2,139.14, 3,186.19 and 2,004.14 is: 2,985.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.14 : 3,186.19 = 2,004.14 : x
  2. Step 2: Convert to fraction form
    2,139.14/3,186.19 = 2,004.14/x
  3. Step 3: Cross multiply
    2,139.14x = 3,186.19 × 2,004.14
  4. Step 4: Simplify right side
    2,139.14x = 6,385,570.83
  5. Step 5: Solve for x
    x = 6,385,570.83/2,139.14
  6. Step 6: Final answer
    x = 2,985.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.