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Finding the Fourth Proportional to 20,509.94, 30,749.49 and 8,677.56

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Solution

The fourth proportional to 20,509.94, 30,749.49 and 8,677.56 is: 13,009.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.94 : 30,749.49 = 8,677.56 : x
  2. Step 2: Convert to fraction form
    20,509.94/30,749.49 = 8,677.56/x
  3. Step 3: Cross multiply
    20,509.94x = 30,749.49 × 8,677.56
  4. Step 4: Simplify right side
    20,509.94x = 266,830,544.44
  5. Step 5: Solve for x
    x = 266,830,544.44/20,509.94
  6. Step 6: Final answer
    x = 13,009.82

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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.