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Finding the Fourth Proportional to 13,643, 20,460 and 4,406.84

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Solution

The fourth proportional to 13,643, 20,460 and 4,406.84 is: 6,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643 : 20,460 = 4,406.84 : x
  2. Step 2: Convert to fraction form
    13,643/20,460 = 4,406.84/x
  3. Step 3: Cross multiply
    13,643x = 20,460 × 4,406.84
  4. Step 4: Simplify right side
    13,643x = 90,163,946.40
  5. Step 5: Solve for x
    x = 90,163,946.40/13,643
  6. Step 6: Final answer
    x = 6,608.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.