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Finding the Fourth Proportional to 13,777.44, 19,012.44 and 7,809

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Solution

The fourth proportional to 13,777.44, 19,012.44 and 7,809 is: 10,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.44 : 19,012.44 = 7,809 : x
  2. Step 2: Convert to fraction form
    13,777.44/19,012.44 = 7,809/x
  3. Step 3: Cross multiply
    13,777.44x = 19,012.44 × 7,809
  4. Step 4: Simplify right side
    13,777.44x = 148,468,143.96
  5. Step 5: Solve for x
    x = 148,468,143.96/13,777.44
  6. Step 6: Final answer
    x = 10,776.18

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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.