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Finding the Fourth Proportional to 9,399.63, 12,971.49 and 5,673.63

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Solution

The fourth proportional to 9,399.63, 12,971.49 and 5,673.63 is: 7,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.63 : 12,971.49 = 5,673.63 : x
  2. Step 2: Convert to fraction form
    9,399.63/12,971.49 = 5,673.63/x
  3. Step 3: Cross multiply
    9,399.63x = 12,971.49 × 5,673.63
  4. Step 4: Simplify right side
    9,399.63x = 73,595,434.81
  5. Step 5: Solve for x
    x = 73,595,434.81/9,399.63
  6. Step 6: Final answer
    x = 7,829.61

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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.