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Finding the Fourth Proportional to 6,348.09, 8,762.82 and 5,683.80

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Solution

The fourth proportional to 6,348.09, 8,762.82 and 5,683.80 is: 7,845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.09 : 8,762.82 = 5,683.80 : x
  2. Step 2: Convert to fraction form
    6,348.09/8,762.82 = 5,683.80/x
  3. Step 3: Cross multiply
    6,348.09x = 8,762.82 × 5,683.80
  4. Step 4: Simplify right side
    6,348.09x = 49,806,116.32
  5. Step 5: Solve for x
    x = 49,806,116.32/6,348.09
  6. Step 6: Final answer
    x = 7,845.84

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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.