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Finding the Fourth Proportional to 14,835, 20,472.36 and 8,211

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Solution

The fourth proportional to 14,835, 20,472.36 and 8,211 is: 11,331.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,835 : 20,472.36 = 8,211 : x
  2. Step 2: Convert to fraction form
    14,835/20,472.36 = 8,211/x
  3. Step 3: Cross multiply
    14,835x = 20,472.36 × 8,211
  4. Step 4: Simplify right side
    14,835x = 168,098,547.96
  5. Step 5: Solve for x
    x = 168,098,547.96/14,835
  6. Step 6: Final answer
    x = 11,331.21

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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.