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Finding the Fourth Proportional to 2,775.92, 3,830.10 and 1,727.24

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Solution

The fourth proportional to 2,775.92, 3,830.10 and 1,727.24 is: 2,383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.92 : 3,830.10 = 1,727.24 : x
  2. Step 2: Convert to fraction form
    2,775.92/3,830.10 = 1,727.24/x
  3. Step 3: Cross multiply
    2,775.92x = 3,830.10 × 1,727.24
  4. Step 4: Simplify right side
    2,775.92x = 6,615,501.92
  5. Step 5: Solve for x
    x = 6,615,501.92/2,775.92
  6. Step 6: Final answer
    x = 2,383.17

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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.