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Finding the Fourth Proportional to 9,147.95, 12,616.49 and 7,256.54

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Solution

The fourth proportional to 9,147.95, 12,616.49 and 7,256.54 is: 10,007.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.95 : 12,616.49 = 7,256.54 : x
  2. Step 2: Convert to fraction form
    9,147.95/12,616.49 = 7,256.54/x
  3. Step 3: Cross multiply
    9,147.95x = 12,616.49 × 7,256.54
  4. Step 4: Simplify right side
    9,147.95x = 91,551,964.98
  5. Step 5: Solve for x
    x = 91,551,964.98/9,147.95
  6. Step 6: Final answer
    x = 10,007.93

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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.