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Finding the Fourth Proportional to 12,578.94, 17,367.05 and 7,803.98

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Solution

The fourth proportional to 12,578.94, 17,367.05 and 7,803.98 is: 10,774.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.94 : 17,367.05 = 7,803.98 : x
  2. Step 2: Convert to fraction form
    12,578.94/17,367.05 = 7,803.98/x
  3. Step 3: Cross multiply
    12,578.94x = 17,367.05 × 7,803.98
  4. Step 4: Simplify right side
    12,578.94x = 135,532,110.86
  5. Step 5: Solve for x
    x = 135,532,110.86/12,578.94
  6. Step 6: Final answer
    x = 10,774.53

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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.