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Finding the Fourth Proportional to 2,859.41, 3,946.01 and 1,680.50

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Solution

The fourth proportional to 2,859.41, 3,946.01 and 1,680.50 is: 2,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.41 : 3,946.01 = 1,680.50 : x
  2. Step 2: Convert to fraction form
    2,859.41/3,946.01 = 1,680.50/x
  3. Step 3: Cross multiply
    2,859.41x = 3,946.01 × 1,680.50
  4. Step 4: Simplify right side
    2,859.41x = 6,631,269.81
  5. Step 5: Solve for x
    x = 6,631,269.81/2,859.41
  6. Step 6: Final answer
    x = 2,319.10

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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.