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Finding the Fourth Proportional to 2,859.64, 3,945.62 and 1,740.56

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Solution

The fourth proportional to 2,859.64, 3,945.62 and 1,740.56 is: 2,401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.64 : 3,945.62 = 1,740.56 : x
  2. Step 2: Convert to fraction form
    2,859.64/3,945.62 = 1,740.56/x
  3. Step 3: Cross multiply
    2,859.64x = 3,945.62 × 1,740.56
  4. Step 4: Simplify right side
    2,859.64x = 6,867,588.35
  5. Step 5: Solve for x
    x = 6,867,588.35/2,859.64
  6. Step 6: Final answer
    x = 2,401.56

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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.