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Finding the Fourth Proportional to 12,806.50, 19,187.91 and 9,090.34

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Solution

The fourth proportional to 12,806.50, 19,187.91 and 9,090.34 is: 13,620.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.50 : 19,187.91 = 9,090.34 : x
  2. Step 2: Convert to fraction form
    12,806.50/19,187.91 = 9,090.34/x
  3. Step 3: Cross multiply
    12,806.50x = 19,187.91 × 9,090.34
  4. Step 4: Simplify right side
    12,806.50x = 174,424,625.79
  5. Step 5: Solve for x
    x = 174,424,625.79/12,806.50
  6. Step 6: Final answer
    x = 13,620.01

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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.