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Finding the Fourth Proportional to 4,485.74, 6,720.48 and 2,509

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Solution

The fourth proportional to 4,485.74, 6,720.48 and 2,509 is: 3,758.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,485.74 : 6,720.48 = 2,509 : x
  2. Step 2: Convert to fraction form
    4,485.74/6,720.48 = 2,509/x
  3. Step 3: Cross multiply
    4,485.74x = 6,720.48 × 2,509
  4. Step 4: Simplify right side
    4,485.74x = 16,861,684.32
  5. Step 5: Solve for x
    x = 16,861,684.32/4,485.74
  6. Step 6: Final answer
    x = 3,758.95

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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.