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Finding the Fourth Proportional to 20,133, 27,784.02 and 11,301

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Solution

The fourth proportional to 20,133, 27,784.02 and 11,301 is: 15,595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133 : 27,784.02 = 11,301 : x
  2. Step 2: Convert to fraction form
    20,133/27,784.02 = 11,301/x
  3. Step 3: Cross multiply
    20,133x = 27,784.02 × 11,301
  4. Step 4: Simplify right side
    20,133x = 313,987,210.02
  5. Step 5: Solve for x
    x = 313,987,210.02/20,133
  6. Step 6: Final answer
    x = 15,595.65

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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.