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Finding the Fourth Proportional to 2,835.76, 3,911.76 and 1,774.24

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Solution

The fourth proportional to 2,835.76, 3,911.76 and 1,774.24 is: 2,447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.76 : 3,911.76 = 1,774.24 : x
  2. Step 2: Convert to fraction form
    2,835.76/3,911.76 = 1,774.24/x
  3. Step 3: Cross multiply
    2,835.76x = 3,911.76 × 1,774.24
  4. Step 4: Simplify right side
    2,835.76x = 6,940,401.06
  5. Step 5: Solve for x
    x = 6,940,401.06/2,835.76
  6. Step 6: Final answer
    x = 2,447.46

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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.