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Finding the Fourth Proportional to 12,480.77, 17,231.23 and 7,946.01

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Solution

The fourth proportional to 12,480.77, 17,231.23 and 7,946.01 is: 10,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,480.77 : 17,231.23 = 7,946.01 : x
  2. Step 2: Convert to fraction form
    12,480.77/17,231.23 = 7,946.01/x
  3. Step 3: Cross multiply
    12,480.77x = 17,231.23 × 7,946.01
  4. Step 4: Simplify right side
    12,480.77x = 136,919,525.89
  5. Step 5: Solve for x
    x = 136,919,525.89/12,480.77
  6. Step 6: Final answer
    x = 10,970.44

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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.