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Finding the Fourth Proportional to 31,148.89, 46,709.44 and 8,957.22

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Solution

The fourth proportional to 31,148.89, 46,709.44 and 8,957.22 is: 13,431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,148.89 : 46,709.44 = 8,957.22 : x
  2. Step 2: Convert to fraction form
    31,148.89/46,709.44 = 8,957.22/x
  3. Step 3: Cross multiply
    31,148.89x = 46,709.44 × 8,957.22
  4. Step 4: Simplify right side
    31,148.89x = 418,386,730.16
  5. Step 5: Solve for x
    x = 418,386,730.16/31,148.89
  6. Step 6: Final answer
    x = 13,431.83

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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.