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Finding the Fourth Proportional to 9,268.74, 12,778.47 and 7,669.49

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Solution

The fourth proportional to 9,268.74, 12,778.47 and 7,669.49 is: 10,573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.74 : 12,778.47 = 7,669.49 : x
  2. Step 2: Convert to fraction form
    9,268.74/12,778.47 = 7,669.49/x
  3. Step 3: Cross multiply
    9,268.74x = 12,778.47 × 7,669.49
  4. Step 4: Simplify right side
    9,268.74x = 98,004,283.99
  5. Step 5: Solve for x
    x = 98,004,283.99/9,268.74
  6. Step 6: Final answer
    x = 10,573.64

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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.