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Finding the Fourth Proportional to 13,777.56, 19,013.43 and 7,809.03

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Solution

The fourth proportional to 13,777.56, 19,013.43 and 7,809.03 is: 10,776.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.56 : 19,013.43 = 7,809.03 : x
  2. Step 2: Convert to fraction form
    13,777.56/19,013.43 = 7,809.03/x
  3. Step 3: Cross multiply
    13,777.56x = 19,013.43 × 7,809.03
  4. Step 4: Simplify right side
    13,777.56x = 148,476,474.56
  5. Step 5: Solve for x
    x = 148,476,474.56/13,777.56
  6. Step 6: Final answer
    x = 10,776.69

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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.