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Finding the Fourth Proportional to 6,683.16, 9,219 and 5,188.68

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Solution

The fourth proportional to 6,683.16, 9,219 and 5,188.68 is: 7,157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.16 : 9,219 = 5,188.68 : x
  2. Step 2: Convert to fraction form
    6,683.16/9,219 = 5,188.68/x
  3. Step 3: Cross multiply
    6,683.16x = 9,219 × 5,188.68
  4. Step 4: Simplify right side
    6,683.16x = 47,834,440.92
  5. Step 5: Solve for x
    x = 47,834,440.92/6,683.16
  6. Step 6: Final answer
    x = 7,157.46

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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.