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Finding the Fourth Proportional to 10,112.63, 13,955.44 and 5,636.53

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Solution

The fourth proportional to 10,112.63, 13,955.44 and 5,636.53 is: 7,778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.63 : 13,955.44 = 5,636.53 : x
  2. Step 2: Convert to fraction form
    10,112.63/13,955.44 = 5,636.53/x
  3. Step 3: Cross multiply
    10,112.63x = 13,955.44 × 5,636.53
  4. Step 4: Simplify right side
    10,112.63x = 78,660,256.22
  5. Step 5: Solve for x
    x = 78,660,256.22/10,112.63
  6. Step 6: Final answer
    x = 7,778.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.