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Finding the Fourth Proportional to 13,686.81, 20,530.22 and 7,839.33

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Solution

The fourth proportional to 13,686.81, 20,530.22 and 7,839.33 is: 11,759.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.81 : 20,530.22 = 7,839.33 : x
  2. Step 2: Convert to fraction form
    13,686.81/20,530.22 = 7,839.33/x
  3. Step 3: Cross multiply
    13,686.81x = 20,530.22 × 7,839.33
  4. Step 4: Simplify right side
    13,686.81x = 160,943,130.36
  5. Step 5: Solve for x
    x = 160,943,130.36/13,686.81
  6. Step 6: Final answer
    x = 11,759.00

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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.