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Finding the Fourth Proportional to 12,296.45, 16,970.63 and 7,515.41

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Solution

The fourth proportional to 12,296.45, 16,970.63 and 7,515.41 is: 10,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.45 : 16,970.63 = 7,515.41 : x
  2. Step 2: Convert to fraction form
    12,296.45/16,970.63 = 7,515.41/x
  3. Step 3: Cross multiply
    12,296.45x = 16,970.63 × 7,515.41
  4. Step 4: Simplify right side
    12,296.45x = 127,541,204.83
  5. Step 5: Solve for x
    x = 127,541,204.83/12,296.45
  6. Step 6: Final answer
    x = 10,372.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.