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Finding the Fourth Proportional to 3,409.60, 5,113.76 and 2,040

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Solution

The fourth proportional to 3,409.60, 5,113.76 and 2,040 is: 3,059.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.60 : 5,113.76 = 2,040 : x
  2. Step 2: Convert to fraction form
    3,409.60/5,113.76 = 2,040/x
  3. Step 3: Cross multiply
    3,409.60x = 5,113.76 × 2,040
  4. Step 4: Simplify right side
    3,409.60x = 10,432,070.40
  5. Step 5: Solve for x
    x = 10,432,070.40/3,409.60
  6. Step 6: Final answer
    x = 3,059.62

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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.