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Finding the Fourth Proportional to 12,307.73, 18,464.63 and 3,543.32

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Solution

The fourth proportional to 12,307.73, 18,464.63 and 3,543.32 is: 5,315.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.73 : 18,464.63 = 3,543.32 : x
  2. Step 2: Convert to fraction form
    12,307.73/18,464.63 = 3,543.32/x
  3. Step 3: Cross multiply
    12,307.73x = 18,464.63 × 3,543.32
  4. Step 4: Simplify right side
    12,307.73x = 65,426,121.22
  5. Step 5: Solve for x
    x = 65,426,121.22/12,307.73
  6. Step 6: Final answer
    x = 5,315.86

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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.