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Finding the Fourth Proportional to 2,159.22, 3,239.31 and 698.34

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Solution

The fourth proportional to 2,159.22, 3,239.31 and 698.34 is: 1,047.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.22 : 3,239.31 = 698.34 : x
  2. Step 2: Convert to fraction form
    2,159.22/3,239.31 = 698.34/x
  3. Step 3: Cross multiply
    2,159.22x = 3,239.31 × 698.34
  4. Step 4: Simplify right side
    2,159.22x = 2,262,139.75
  5. Step 5: Solve for x
    x = 2,262,139.75/2,159.22
  6. Step 6: Final answer
    x = 1,047.67

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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.