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Finding the Fourth Proportional to 13,705.62, 18,913.80 and 7,418.00

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Solution

The fourth proportional to 13,705.62, 18,913.80 and 7,418.00 is: 10,236.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.62 : 18,913.80 = 7,418.00 : x
  2. Step 2: Convert to fraction form
    13,705.62/18,913.80 = 7,418.00/x
  3. Step 3: Cross multiply
    13,705.62x = 18,913.80 × 7,418.00
  4. Step 4: Simplify right side
    13,705.62x = 140,302,473.83
  5. Step 5: Solve for x
    x = 140,302,473.83/13,705.62
  6. Step 6: Final answer
    x = 10,236.86

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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.