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Finding the Fourth Proportional to 12,187.98, 18,256.44 and 7,782.99

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Solution

The fourth proportional to 12,187.98, 18,256.44 and 7,782.99 is: 11,658.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.98 : 18,256.44 = 7,782.99 : x
  2. Step 2: Convert to fraction form
    12,187.98/18,256.44 = 7,782.99/x
  3. Step 3: Cross multiply
    12,187.98x = 18,256.44 × 7,782.99
  4. Step 4: Simplify right side
    12,187.98x = 142,089,689.96
  5. Step 5: Solve for x
    x = 142,089,689.96/12,187.98
  6. Step 6: Final answer
    x = 11,658.18

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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.