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Finding the Fourth Proportional to 8,683.84, 13,014.24 and 7,163.20

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Solution

The fourth proportional to 8,683.84, 13,014.24 and 7,163.20 is: 10,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.84 : 13,014.24 = 7,163.20 : x
  2. Step 2: Convert to fraction form
    8,683.84/13,014.24 = 7,163.20/x
  3. Step 3: Cross multiply
    8,683.84x = 13,014.24 × 7,163.20
  4. Step 4: Simplify right side
    8,683.84x = 93,223,603.97
  5. Step 5: Solve for x
    x = 93,223,603.97/8,683.84
  6. Step 6: Final answer
    x = 10,735.30

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1.5x scale

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.