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Finding the Fourth Proportional to 12,690.16, 19,024 and 4,893.60

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Solution

The fourth proportional to 12,690.16, 19,024 and 4,893.60 is: 7,336.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690.16 : 19,024 = 4,893.60 : x
  2. Step 2: Convert to fraction form
    12,690.16/19,024 = 4,893.60/x
  3. Step 3: Cross multiply
    12,690.16x = 19,024 × 4,893.60
  4. Step 4: Simplify right side
    12,690.16x = 93,095,846.40
  5. Step 5: Solve for x
    x = 93,095,846.40/12,690.16
  6. Step 6: Final answer
    x = 7,336.07

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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.