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Finding the Fourth Proportional to 12,785.56, 17,638.36 and 7,478.03

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Solution

The fourth proportional to 12,785.56, 17,638.36 and 7,478.03 is: 10,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.56 : 17,638.36 = 7,478.03 : x
  2. Step 2: Convert to fraction form
    12,785.56/17,638.36 = 7,478.03/x
  3. Step 3: Cross multiply
    12,785.56x = 17,638.36 × 7,478.03
  4. Step 4: Simplify right side
    12,785.56x = 131,900,210.63
  5. Step 5: Solve for x
    x = 131,900,210.63/12,785.56
  6. Step 6: Final answer
    x = 10,316.34

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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.