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Finding the Fourth Proportional to 2,776.01, 3,830.87 and 1,656.99

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Solution

The fourth proportional to 2,776.01, 3,830.87 and 1,656.99 is: 2,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.01 : 3,830.87 = 1,656.99 : x
  2. Step 2: Convert to fraction form
    2,776.01/3,830.87 = 1,656.99/x
  3. Step 3: Cross multiply
    2,776.01x = 3,830.87 × 1,656.99
  4. Step 4: Simplify right side
    2,776.01x = 6,347,713.28
  5. Step 5: Solve for x
    x = 6,347,713.28/2,776.01
  6. Step 6: Final answer
    x = 2,286.63

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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.