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Finding the Fourth Proportional to 19,851, 27,394.38 and 11,467.50

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Solution

The fourth proportional to 19,851, 27,394.38 and 11,467.50 is: 15,825.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,851 : 27,394.38 = 11,467.50 : x
  2. Step 2: Convert to fraction form
    19,851/27,394.38 = 11,467.50/x
  3. Step 3: Cross multiply
    19,851x = 27,394.38 × 11,467.50
  4. Step 4: Simplify right side
    19,851x = 314,145,052.65
  5. Step 5: Solve for x
    x = 314,145,052.65/19,851
  6. Step 6: Final answer
    x = 15,825.15

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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.