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Finding the Fourth Proportional to 12,378.99, 18,573.34 and 5,448.63

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Solution

The fourth proportional to 12,378.99, 18,573.34 and 5,448.63 is: 8,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.99 : 18,573.34 = 5,448.63 : x
  2. Step 2: Convert to fraction form
    12,378.99/18,573.34 = 5,448.63/x
  3. Step 3: Cross multiply
    12,378.99x = 18,573.34 × 5,448.63
  4. Step 4: Simplify right side
    12,378.99x = 101,199,257.52
  5. Step 5: Solve for x
    x = 101,199,257.52/12,378.99
  6. Step 6: Final answer
    x = 8,175.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.