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Finding the Fourth Proportional to 12,472.50, 17,206.16 and 7,433.84

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Solution

The fourth proportional to 12,472.50, 17,206.16 and 7,433.84 is: 10,255.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.50 : 17,206.16 = 7,433.84 : x
  2. Step 2: Convert to fraction form
    12,472.50/17,206.16 = 7,433.84/x
  3. Step 3: Cross multiply
    12,472.50x = 17,206.16 × 7,433.84
  4. Step 4: Simplify right side
    12,472.50x = 127,907,840.45
  5. Step 5: Solve for x
    x = 127,907,840.45/12,472.50
  6. Step 6: Final answer
    x = 10,255.19

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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.