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Finding the Fourth Proportional to 15,133, 20,883.54 and 8,509

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Solution

The fourth proportional to 15,133, 20,883.54 and 8,509 is: 11,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,133 : 20,883.54 = 8,509 : x
  2. Step 2: Convert to fraction form
    15,133/20,883.54 = 8,509/x
  3. Step 3: Cross multiply
    15,133x = 20,883.54 × 8,509
  4. Step 4: Simplify right side
    15,133x = 177,698,041.86
  5. Step 5: Solve for x
    x = 177,698,041.86/15,133
  6. Step 6: Final answer
    x = 11,742.42

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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.