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Finding the Fourth Proportional to 2,776.63, 3,832.14 and 1,784.74

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Solution

The fourth proportional to 2,776.63, 3,832.14 and 1,784.74 is: 2,463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.63 : 3,832.14 = 1,784.74 : x
  2. Step 2: Convert to fraction form
    2,776.63/3,832.14 = 1,784.74/x
  3. Step 3: Cross multiply
    2,776.63x = 3,832.14 × 1,784.74
  4. Step 4: Simplify right side
    2,776.63x = 6,839,373.54
  5. Step 5: Solve for x
    x = 6,839,373.54/2,776.63
  6. Step 6: Final answer
    x = 2,463.19

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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.