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Finding the Fourth Proportional to 12,702.46, 19,042.34 and 6,458.98

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Solution

The fourth proportional to 12,702.46, 19,042.34 and 6,458.98 is: 9,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.46 : 19,042.34 = 6,458.98 : x
  2. Step 2: Convert to fraction form
    12,702.46/19,042.34 = 6,458.98/x
  3. Step 3: Cross multiply
    12,702.46x = 19,042.34 × 6,458.98
  4. Step 4: Simplify right side
    12,702.46x = 122,993,998.00
  5. Step 5: Solve for x
    x = 122,993,998.00/12,702.46
  6. Step 6: Final answer
    x = 9,682.70

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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.