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Finding the Fourth Proportional to 2,812.40, 4,218.60 and 2,083.40

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Solution

The fourth proportional to 2,812.40, 4,218.60 and 2,083.40 is: 3,125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.40 : 4,218.60 = 2,083.40 : x
  2. Step 2: Convert to fraction form
    2,812.40/4,218.60 = 2,083.40/x
  3. Step 3: Cross multiply
    2,812.40x = 4,218.60 × 2,083.40
  4. Step 4: Simplify right side
    2,812.40x = 8,789,031.24
  5. Step 5: Solve for x
    x = 8,789,031.24/2,812.40
  6. Step 6: Final answer
    x = 3,125.10

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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.