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Finding the Fourth Proportional to 30,980.46, 46,474.06 and 9,915.54

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Solution

The fourth proportional to 30,980.46, 46,474.06 and 9,915.54 is: 14,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.46 : 46,474.06 = 9,915.54 : x
  2. Step 2: Convert to fraction form
    30,980.46/46,474.06 = 9,915.54/x
  3. Step 3: Cross multiply
    30,980.46x = 46,474.06 × 9,915.54
  4. Step 4: Simplify right side
    30,980.46x = 460,815,400.89
  5. Step 5: Solve for x
    x = 460,815,400.89/30,980.46
  6. Step 6: Final answer
    x = 14,874.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.