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Finding the Fourth Proportional to 14,586, 20,129.76 and 8,300.40

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Solution

The fourth proportional to 14,586, 20,129.76 and 8,300.40 is: 11,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586 : 20,129.76 = 8,300.40 : x
  2. Step 2: Convert to fraction form
    14,586/20,129.76 = 8,300.40/x
  3. Step 3: Cross multiply
    14,586x = 20,129.76 × 8,300.40
  4. Step 4: Simplify right side
    14,586x = 167,085,059.90
  5. Step 5: Solve for x
    x = 167,085,059.90/14,586
  6. Step 6: Final answer
    x = 11,455.17

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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.