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Finding the Fourth Proportional to 11,847.81, 16,344.08 and 7,064.38

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Solution

The fourth proportional to 11,847.81, 16,344.08 and 7,064.38 is: 9,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.81 : 16,344.08 = 7,064.38 : x
  2. Step 2: Convert to fraction form
    11,847.81/16,344.08 = 7,064.38/x
  3. Step 3: Cross multiply
    11,847.81x = 16,344.08 × 7,064.38
  4. Step 4: Simplify right side
    11,847.81x = 115,460,756.55
  5. Step 5: Solve for x
    x = 115,460,756.55/11,847.81
  6. Step 6: Final answer
    x = 9,745.32

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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.