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Finding the Fourth Proportional to 3,970.34, 5,958.54 and 2,859.22

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Solution

The fourth proportional to 3,970.34, 5,958.54 and 2,859.22 is: 4,291.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.34 : 5,958.54 = 2,859.22 : x
  2. Step 2: Convert to fraction form
    3,970.34/5,958.54 = 2,859.22/x
  3. Step 3: Cross multiply
    3,970.34x = 5,958.54 × 2,859.22
  4. Step 4: Simplify right side
    3,970.34x = 17,036,776.74
  5. Step 5: Solve for x
    x = 17,036,776.74/3,970.34
  6. Step 6: Final answer
    x = 4,291.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.