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Finding the Fourth Proportional to 32,438.57, 48,685.19 and 12,730.96

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Solution

The fourth proportional to 32,438.57, 48,685.19 and 12,730.96 is: 19,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,438.57 : 48,685.19 = 12,730.96 : x
  2. Step 2: Convert to fraction form
    32,438.57/48,685.19 = 12,730.96/x
  3. Step 3: Cross multiply
    32,438.57x = 48,685.19 × 12,730.96
  4. Step 4: Simplify right side
    32,438.57x = 619,809,142.83
  5. Step 5: Solve for x
    x = 619,809,142.83/32,438.57
  6. Step 6: Final answer
    x = 19,107.17

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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.