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Finding the Fourth Proportional to 31,483.44, 47,219.68 and 11,762.16

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Solution

The fourth proportional to 31,483.44, 47,219.68 and 11,762.16 is: 17,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,483.44 : 47,219.68 = 11,762.16 : x
  2. Step 2: Convert to fraction form
    31,483.44/47,219.68 = 11,762.16/x
  3. Step 3: Cross multiply
    31,483.44x = 47,219.68 × 11,762.16
  4. Step 4: Simplify right side
    31,483.44x = 555,405,431.31
  5. Step 5: Solve for x
    x = 555,405,431.31/31,483.44
  6. Step 6: Final answer
    x = 17,641.19

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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.