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Finding the Fourth Proportional to 13,703.73, 18,911.13 and 7,416.09

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Solution

The fourth proportional to 13,703.73, 18,911.13 and 7,416.09 is: 10,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.73 : 18,911.13 = 7,416.09 : x
  2. Step 2: Convert to fraction form
    13,703.73/18,911.13 = 7,416.09/x
  3. Step 3: Cross multiply
    13,703.73x = 18,911.13 × 7,416.09
  4. Step 4: Simplify right side
    13,703.73x = 140,246,642.08
  5. Step 5: Solve for x
    x = 140,246,642.08/13,703.73
  6. Step 6: Final answer
    x = 10,234.19

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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.