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Finding the Fourth Proportional to 32,431.75, 48,647.64 and 7,807.75

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Solution

The fourth proportional to 32,431.75, 48,647.64 and 7,807.75 is: 11,711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,431.75 : 48,647.64 = 7,807.75 : x
  2. Step 2: Convert to fraction form
    32,431.75/48,647.64 = 7,807.75/x
  3. Step 3: Cross multiply
    32,431.75x = 48,647.64 × 7,807.75
  4. Step 4: Simplify right side
    32,431.75x = 379,828,611.21
  5. Step 5: Solve for x
    x = 379,828,611.21/32,431.75
  6. Step 6: Final answer
    x = 11,711.63

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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.