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Finding the Fourth Proportional to 9,148.94, 12,619.17 and 7,257.87

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Solution

The fourth proportional to 9,148.94, 12,619.17 and 7,257.87 is: 10,010.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.94 : 12,619.17 = 7,257.87 : x
  2. Step 2: Convert to fraction form
    9,148.94/12,619.17 = 7,257.87/x
  3. Step 3: Cross multiply
    9,148.94x = 12,619.17 × 7,257.87
  4. Step 4: Simplify right side
    9,148.94x = 91,588,295.37
  5. Step 5: Solve for x
    x = 91,588,295.37/9,148.94
  6. Step 6: Final answer
    x = 10,010.81

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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.