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Finding the Fourth Proportional to 15,085, 22,605.66 and 13,231.72

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Solution

The fourth proportional to 15,085, 22,605.66 and 13,231.72 is: 19,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,085 : 22,605.66 = 13,231.72 : x
  2. Step 2: Convert to fraction form
    15,085/22,605.66 = 13,231.72/x
  3. Step 3: Cross multiply
    15,085x = 22,605.66 × 13,231.72
  4. Step 4: Simplify right side
    15,085x = 299,111,763.54
  5. Step 5: Solve for x
    x = 299,111,763.54/15,085
  6. Step 6: Final answer
    x = 19,828.42

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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.