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Finding the Fourth Proportional to 3,289.48, 4,536 and 2,580

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Solution

The fourth proportional to 3,289.48, 4,536 and 2,580 is: 3,557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.48 : 4,536 = 2,580 : x
  2. Step 2: Convert to fraction form
    3,289.48/4,536 = 2,580/x
  3. Step 3: Cross multiply
    3,289.48x = 4,536 × 2,580
  4. Step 4: Simplify right side
    3,289.48x = 11,702,880
  5. Step 5: Solve for x
    x = 11,702,880/3,289.48
  6. Step 6: Final answer
    x = 3,557.67

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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.