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Finding the Fourth Proportional to 2,953.80, 4,078.14 and 1,835.94

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Solution

The fourth proportional to 2,953.80, 4,078.14 and 1,835.94 is: 2,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.80 : 4,078.14 = 1,835.94 : x
  2. Step 2: Convert to fraction form
    2,953.80/4,078.14 = 1,835.94/x
  3. Step 3: Cross multiply
    2,953.80x = 4,078.14 × 1,835.94
  4. Step 4: Simplify right side
    2,953.80x = 7,487,220.35
  5. Step 5: Solve for x
    x = 7,487,220.35/2,953.80
  6. Step 6: Final answer
    x = 2,534.78

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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.