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Finding the Fourth Proportional to 13,415.98, 18,515.22 and 7,448.80

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Solution

The fourth proportional to 13,415.98, 18,515.22 and 7,448.80 is: 10,279.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.98 : 18,515.22 = 7,448.80 : x
  2. Step 2: Convert to fraction form
    13,415.98/18,515.22 = 7,448.80/x
  3. Step 3: Cross multiply
    13,415.98x = 18,515.22 × 7,448.80
  4. Step 4: Simplify right side
    13,415.98x = 137,916,170.74
  5. Step 5: Solve for x
    x = 137,916,170.74/13,415.98
  6. Step 6: Final answer
    x = 10,279.99

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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.