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Finding the Fourth Proportional to 30,760.92, 46,145.23 and 12,038.54

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Solution

The fourth proportional to 30,760.92, 46,145.23 and 12,038.54 is: 18,059.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,760.92 : 46,145.23 = 12,038.54 : x
  2. Step 2: Convert to fraction form
    30,760.92/46,145.23 = 12,038.54/x
  3. Step 3: Cross multiply
    30,760.92x = 46,145.23 × 12,038.54
  4. Step 4: Simplify right side
    30,760.92x = 555,521,001.23
  5. Step 5: Solve for x
    x = 555,521,001.23/30,760.92
  6. Step 6: Final answer
    x = 18,059.31

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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.