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Finding the Fourth Proportional to 27,009, 40,486.14 and 12,948.36

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Solution

The fourth proportional to 27,009, 40,486.14 and 12,948.36 is: 19,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,009 : 40,486.14 = 12,948.36 : x
  2. Step 2: Convert to fraction form
    27,009/40,486.14 = 12,948.36/x
  3. Step 3: Cross multiply
    27,009x = 40,486.14 × 12,948.36
  4. Step 4: Simplify right side
    27,009x = 524,229,115.73
  5. Step 5: Solve for x
    x = 524,229,115.73/27,009
  6. Step 6: Final answer
    x = 19,409.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.