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Finding the Fourth Proportional to 3,428.16, 5,117.16 and 2,944.32

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Solution

The fourth proportional to 3,428.16, 5,117.16 and 2,944.32 is: 4,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.16 : 5,117.16 = 2,944.32 : x
  2. Step 2: Convert to fraction form
    3,428.16/5,117.16 = 2,944.32/x
  3. Step 3: Cross multiply
    3,428.16x = 5,117.16 × 2,944.32
  4. Step 4: Simplify right side
    3,428.16x = 15,066,556.53
  5. Step 5: Solve for x
    x = 15,066,556.53/3,428.16
  6. Step 6: Final answer
    x = 4,394.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.