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Finding the Fourth Proportional to 2,834.76, 4,246.80 and 1,957.80

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Solution

The fourth proportional to 2,834.76, 4,246.80 and 1,957.80 is: 2,933.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.76 : 4,246.80 = 1,957.80 : x
  2. Step 2: Convert to fraction form
    2,834.76/4,246.80 = 1,957.80/x
  3. Step 3: Cross multiply
    2,834.76x = 4,246.80 × 1,957.80
  4. Step 4: Simplify right side
    2,834.76x = 8,314,385.04
  5. Step 5: Solve for x
    x = 8,314,385.04/2,834.76
  6. Step 6: Final answer
    x = 2,933.01

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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.