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Finding the Fourth Proportional to 3,540, 4,885.32 and 1,946.77

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Solution

The fourth proportional to 3,540, 4,885.32 and 1,946.77 is: 2,686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540 : 4,885.32 = 1,946.77 : x
  2. Step 2: Convert to fraction form
    3,540/4,885.32 = 1,946.77/x
  3. Step 3: Cross multiply
    3,540x = 4,885.32 × 1,946.77
  4. Step 4: Simplify right side
    3,540x = 9,510,589.50
  5. Step 5: Solve for x
    x = 9,510,589.50/3,540
  6. Step 6: Final answer
    x = 2,686.61

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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.