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Finding the Fourth Proportional to 9,403.81, 12,976.81 and 5,629.06

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Solution

The fourth proportional to 9,403.81, 12,976.81 and 5,629.06 is: 7,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.81 : 12,976.81 = 5,629.06 : x
  2. Step 2: Convert to fraction form
    9,403.81/12,976.81 = 5,629.06/x
  3. Step 3: Cross multiply
    9,403.81x = 12,976.81 × 5,629.06
  4. Step 4: Simplify right side
    9,403.81x = 73,047,244.25
  5. Step 5: Solve for x
    x = 73,047,244.25/9,403.81
  6. Step 6: Final answer
    x = 7,767.83

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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.