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Finding the Fourth Proportional to 14,858.76, 20,505.32 and 8,145

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Solution

The fourth proportional to 14,858.76, 20,505.32 and 8,145 is: 11,240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,858.76 : 20,505.32 = 8,145 : x
  2. Step 2: Convert to fraction form
    14,858.76/20,505.32 = 8,145/x
  3. Step 3: Cross multiply
    14,858.76x = 20,505.32 × 8,145
  4. Step 4: Simplify right side
    14,858.76x = 167,015,831.40
  5. Step 5: Solve for x
    x = 167,015,831.40/14,858.76
  6. Step 6: Final answer
    x = 11,240.23

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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.