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Finding the Fourth Proportional to 21,823.90, 30,119.43 and 12,394.06

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Solution

The fourth proportional to 21,823.90, 30,119.43 and 12,394.06 is: 17,105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,823.90 : 30,119.43 = 12,394.06 : x
  2. Step 2: Convert to fraction form
    21,823.90/30,119.43 = 12,394.06/x
  3. Step 3: Cross multiply
    21,823.90x = 30,119.43 × 12,394.06
  4. Step 4: Simplify right side
    21,823.90x = 373,302,022.59
  5. Step 5: Solve for x
    x = 373,302,022.59/21,823.90
  6. Step 6: Final answer
    x = 17,105.19

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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.