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Finding the Fourth Proportional to 12,415.50, 18,605.79 and 9,629.22

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Solution

The fourth proportional to 12,415.50, 18,605.79 and 9,629.22 is: 14,430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.50 : 18,605.79 = 9,629.22 : x
  2. Step 2: Convert to fraction form
    12,415.50/18,605.79 = 9,629.22/x
  3. Step 3: Cross multiply
    12,415.50x = 18,605.79 × 9,629.22
  4. Step 4: Simplify right side
    12,415.50x = 179,159,245.18
  5. Step 5: Solve for x
    x = 179,159,245.18/12,415.50
  6. Step 6: Final answer
    x = 14,430.29

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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.