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Finding the Fourth Proportional to 12,912, 19,455.84 and 11,497.44

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Solution

The fourth proportional to 12,912, 19,455.84 and 11,497.44 is: 17,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912 : 19,455.84 = 11,497.44 : x
  2. Step 2: Convert to fraction form
    12,912/19,455.84 = 11,497.44/x
  3. Step 3: Cross multiply
    12,912x = 19,455.84 × 11,497.44
  4. Step 4: Simplify right side
    12,912x = 223,692,353.05
  5. Step 5: Solve for x
    x = 223,692,353.05/12,912
  6. Step 6: Final answer
    x = 17,324.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.