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Finding the Fourth Proportional to 9,085.88, 13,631.22 and 5,712.60

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Solution

The fourth proportional to 9,085.88, 13,631.22 and 5,712.60 is: 8,570.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.88 : 13,631.22 = 5,712.60 : x
  2. Step 2: Convert to fraction form
    9,085.88/13,631.22 = 5,712.60/x
  3. Step 3: Cross multiply
    9,085.88x = 13,631.22 × 5,712.60
  4. Step 4: Simplify right side
    9,085.88x = 77,869,707.37
  5. Step 5: Solve for x
    x = 77,869,707.37/9,085.88
  6. Step 6: Final answer
    x = 8,570.41

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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.