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Finding the Fourth Proportional to 2,143.10, 2,993.05 and 2,143.10

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Solution

The fourth proportional to 2,143.10, 2,993.05 and 2,143.10 is: 2,993.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.10 : 2,993.05 = 2,143.10 : x
  2. Step 2: Convert to fraction form
    2,143.10/2,993.05 = 2,143.10/x
  3. Step 3: Cross multiply
    2,143.10x = 2,993.05 × 2,143.10
  4. Step 4: Simplify right side
    2,143.10x = 6,414,405.46
  5. Step 5: Solve for x
    x = 6,414,405.46/2,143.10
  6. Step 6: Final answer
    x = 2,993.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.