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Finding the Fourth Proportional to 6,208.64, 8,569.77 and 4,085.80

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Solution

The fourth proportional to 6,208.64, 8,569.77 and 4,085.80 is: 5,639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.64 : 8,569.77 = 4,085.80 : x
  2. Step 2: Convert to fraction form
    6,208.64/8,569.77 = 4,085.80/x
  3. Step 3: Cross multiply
    6,208.64x = 8,569.77 × 4,085.80
  4. Step 4: Simplify right side
    6,208.64x = 35,014,366.27
  5. Step 5: Solve for x
    x = 35,014,366.27/6,208.64
  6. Step 6: Final answer
    x = 5,639.62

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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.