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Finding the Fourth Proportional to 13,585.23, 18,748.34 and 7,843.44

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Solution

The fourth proportional to 13,585.23, 18,748.34 and 7,843.44 is: 10,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.23 : 18,748.34 = 7,843.44 : x
  2. Step 2: Convert to fraction form
    13,585.23/18,748.34 = 7,843.44/x
  3. Step 3: Cross multiply
    13,585.23x = 18,748.34 × 7,843.44
  4. Step 4: Simplify right side
    13,585.23x = 147,051,440.67
  5. Step 5: Solve for x
    x = 147,051,440.67/13,585.23
  6. Step 6: Final answer
    x = 10,824.36

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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.