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Finding the Fourth Proportional to 12,425.24, 18,642.10 and 5,851.76

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Solution

The fourth proportional to 12,425.24, 18,642.10 and 5,851.76 is: 8,779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,425.24 : 18,642.10 = 5,851.76 : x
  2. Step 2: Convert to fraction form
    12,425.24/18,642.10 = 5,851.76/x
  3. Step 3: Cross multiply
    12,425.24x = 18,642.10 × 5,851.76
  4. Step 4: Simplify right side
    12,425.24x = 109,089,095.10
  5. Step 5: Solve for x
    x = 109,089,095.10/12,425.24
  6. Step 6: Final answer
    x = 8,779.64

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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.