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Finding the Fourth Proportional to 2,399, 3,598.86 and 860.36

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Solution

The fourth proportional to 2,399, 3,598.86 and 860.36 is: 1,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399 : 3,598.86 = 860.36 : x
  2. Step 2: Convert to fraction form
    2,399/3,598.86 = 860.36/x
  3. Step 3: Cross multiply
    2,399x = 3,598.86 × 860.36
  4. Step 4: Simplify right side
    2,399x = 3,096,315.19
  5. Step 5: Solve for x
    x = 3,096,315.19/2,399
  6. Step 6: Final answer
    x = 1,290.67

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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.