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Finding the Fourth Proportional to 15,400.41, 23,081.43 and 7,071.57

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Solution

The fourth proportional to 15,400.41, 23,081.43 and 7,071.57 is: 10,598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,400.41 : 23,081.43 = 7,071.57 : x
  2. Step 2: Convert to fraction form
    15,400.41/23,081.43 = 7,071.57/x
  3. Step 3: Cross multiply
    15,400.41x = 23,081.43 × 7,071.57
  4. Step 4: Simplify right side
    15,400.41x = 163,221,947.95
  5. Step 5: Solve for x
    x = 163,221,947.95/15,400.41
  6. Step 6: Final answer
    x = 10,598.55

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