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Finding the Fourth Proportional to 30,724.89, 46,089.84 and 8,538.27

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Solution

The fourth proportional to 30,724.89, 46,089.84 and 8,538.27 is: 12,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724.89 : 46,089.84 = 8,538.27 : x
  2. Step 2: Convert to fraction form
    30,724.89/46,089.84 = 8,538.27/x
  3. Step 3: Cross multiply
    30,724.89x = 46,089.84 × 8,538.27
  4. Step 4: Simplify right side
    30,724.89x = 393,527,498.18
  5. Step 5: Solve for x
    x = 393,527,498.18/30,724.89
  6. Step 6: Final answer
    x = 12,808.10

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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.