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Finding the Fourth Proportional to 20,208.50, 27,883.50 and 11,710.14

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Solution

The fourth proportional to 20,208.50, 27,883.50 and 11,710.14 is: 16,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,208.50 : 27,883.50 = 11,710.14 : x
  2. Step 2: Convert to fraction form
    20,208.50/27,883.50 = 11,710.14/x
  3. Step 3: Cross multiply
    20,208.50x = 27,883.50 × 11,710.14
  4. Step 4: Simplify right side
    20,208.50x = 326,519,688.69
  5. Step 5: Solve for x
    x = 326,519,688.69/20,208.50
  6. Step 6: Final answer
    x = 16,157.54

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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.