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Finding the Fourth Proportional to 2,783.70, 3,845.41 and 2,534.63

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Solution

The fourth proportional to 2,783.70, 3,845.41 and 2,534.63 is: 3,501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.70 : 3,845.41 = 2,534.63 : x
  2. Step 2: Convert to fraction form
    2,783.70/3,845.41 = 2,534.63/x
  3. Step 3: Cross multiply
    2,783.70x = 3,845.41 × 2,534.63
  4. Step 4: Simplify right side
    2,783.70x = 9,746,665.98
  5. Step 5: Solve for x
    x = 9,746,665.98/2,783.70
  6. Step 6: Final answer
    x = 3,501.33

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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.