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Finding the Fourth Proportional to 6,509.40, 8,981.16 and 4,149.60

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Solution

The fourth proportional to 6,509.40, 8,981.16 and 4,149.60 is: 5,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.40 : 8,981.16 = 4,149.60 : x
  2. Step 2: Convert to fraction form
    6,509.40/8,981.16 = 4,149.60/x
  3. Step 3: Cross multiply
    6,509.40x = 8,981.16 × 4,149.60
  4. Step 4: Simplify right side
    6,509.40x = 37,268,221.54
  5. Step 5: Solve for x
    x = 37,268,221.54/6,509.40
  6. Step 6: Final answer
    x = 5,725.29

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1.5x scale

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.