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Finding the Fourth Proportional to 13,698.50, 18,903.94 and 7,731.44

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Solution

The fourth proportional to 13,698.50, 18,903.94 and 7,731.44 is: 10,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.50 : 18,903.94 = 7,731.44 : x
  2. Step 2: Convert to fraction form
    13,698.50/18,903.94 = 7,731.44/x
  3. Step 3: Cross multiply
    13,698.50x = 18,903.94 × 7,731.44
  4. Step 4: Simplify right side
    13,698.50x = 146,154,677.87
  5. Step 5: Solve for x
    x = 146,154,677.87/13,698.50
  6. Step 6: Final answer
    x = 10,669.39

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1.5x scale

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.