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Finding the Fourth Proportional to 2,861.56, 3,946.62 and 1,929.88

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Solution

The fourth proportional to 2,861.56, 3,946.62 and 1,929.88 is: 2,661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.56 : 3,946.62 = 1,929.88 : x
  2. Step 2: Convert to fraction form
    2,861.56/3,946.62 = 1,929.88/x
  3. Step 3: Cross multiply
    2,861.56x = 3,946.62 × 1,929.88
  4. Step 4: Simplify right side
    2,861.56x = 7,616,503.01
  5. Step 5: Solve for x
    x = 7,616,503.01/2,861.56
  6. Step 6: Final answer
    x = 2,661.66

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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.