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Finding the Fourth Proportional to 13,685.68, 20,509.93 and 7,759.77

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Solution

The fourth proportional to 13,685.68, 20,509.93 and 7,759.77 is: 11,629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.68 : 20,509.93 = 7,759.77 : x
  2. Step 2: Convert to fraction form
    13,685.68/20,509.93 = 7,759.77/x
  3. Step 3: Cross multiply
    13,685.68x = 20,509.93 × 7,759.77
  4. Step 4: Simplify right side
    13,685.68x = 159,152,272.30
  5. Step 5: Solve for x
    x = 159,152,272.30/13,685.68
  6. Step 6: Final answer
    x = 11,629.11

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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.