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Finding the Fourth Proportional to 12,731.61, 17,573.70 and 7,427.46

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Solution

The fourth proportional to 12,731.61, 17,573.70 and 7,427.46 is: 10,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,731.61 : 17,573.70 = 7,427.46 : x
  2. Step 2: Convert to fraction form
    12,731.61/17,573.70 = 7,427.46/x
  3. Step 3: Cross multiply
    12,731.61x = 17,573.70 × 7,427.46
  4. Step 4: Simplify right side
    12,731.61x = 130,527,953.80
  5. Step 5: Solve for x
    x = 130,527,953.80/12,731.61
  6. Step 6: Final answer
    x = 10,252.27

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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.