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Finding the Fourth Proportional to 2,053.77, 3,084.62 and 1,961.61

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Solution

The fourth proportional to 2,053.77, 3,084.62 and 1,961.61 is: 2,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.77 : 3,084.62 = 1,961.61 : x
  2. Step 2: Convert to fraction form
    2,053.77/3,084.62 = 1,961.61/x
  3. Step 3: Cross multiply
    2,053.77x = 3,084.62 × 1,961.61
  4. Step 4: Simplify right side
    2,053.77x = 6,050,811.63
  5. Step 5: Solve for x
    x = 6,050,811.63/2,053.77
  6. Step 6: Final answer
    x = 2,946.20

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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.