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Finding the Fourth Proportional to 2,161.92, 2,983.40 and 1,230.40

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Solution

The fourth proportional to 2,161.92, 2,983.40 and 1,230.40 is: 1,697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.92 : 2,983.40 = 1,230.40 : x
  2. Step 2: Convert to fraction form
    2,161.92/2,983.40 = 1,230.40/x
  3. Step 3: Cross multiply
    2,161.92x = 2,983.40 × 1,230.40
  4. Step 4: Simplify right side
    2,161.92x = 3,670,775.36
  5. Step 5: Solve for x
    x = 3,670,775.36/2,161.92
  6. Step 6: Final answer
    x = 1,697.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.