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Finding the Fourth Proportional to 30,775.44, 42,467.04 and 18,842.16

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Solution

The fourth proportional to 30,775.44, 42,467.04 and 18,842.16 is: 26,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.44 : 42,467.04 = 18,842.16 : x
  2. Step 2: Convert to fraction form
    30,775.44/42,467.04 = 18,842.16/x
  3. Step 3: Cross multiply
    30,775.44x = 42,467.04 × 18,842.16
  4. Step 4: Simplify right side
    30,775.44x = 800,170,762.41
  5. Step 5: Solve for x
    x = 800,170,762.41/30,775.44
  6. Step 6: Final answer
    x = 26,000.30

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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.