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Finding the Fourth Proportional to 14,735, 20,334.30 and 8,111

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Solution

The fourth proportional to 14,735, 20,334.30 and 8,111 is: 11,193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,735 : 20,334.30 = 8,111 : x
  2. Step 2: Convert to fraction form
    14,735/20,334.30 = 8,111/x
  3. Step 3: Cross multiply
    14,735x = 20,334.30 × 8,111
  4. Step 4: Simplify right side
    14,735x = 164,931,507.30
  5. Step 5: Solve for x
    x = 164,931,507.30/14,735
  6. Step 6: Final answer
    x = 11,193.18

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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.