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Finding the Fourth Proportional to 14,838, 20,476.48 and 8,123.68

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Solution

The fourth proportional to 14,838, 20,476.48 and 8,123.68 is: 11,210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838 : 20,476.48 = 8,123.68 : x
  2. Step 2: Convert to fraction form
    14,838/20,476.48 = 8,123.68/x
  3. Step 3: Cross multiply
    14,838x = 20,476.48 × 8,123.68
  4. Step 4: Simplify right side
    14,838x = 166,344,371.05
  5. Step 5: Solve for x
    x = 166,344,371.05/14,838
  6. Step 6: Final answer
    x = 11,210.70

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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.