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Finding the Fourth Proportional to 13,759.20, 20,638.80 and 13,058.00

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Solution

The fourth proportional to 13,759.20, 20,638.80 and 13,058.00 is: 19,586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759.20 : 20,638.80 = 13,058.00 : x
  2. Step 2: Convert to fraction form
    13,759.20/20,638.80 = 13,058.00/x
  3. Step 3: Cross multiply
    13,759.20x = 20,638.80 × 13,058.00
  4. Step 4: Simplify right side
    13,759.20x = 269,501,347.21
  5. Step 5: Solve for x
    x = 269,501,347.21/13,759.20
  6. Step 6: Final answer
    x = 19,586.99

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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.