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Finding the Fourth Proportional to 12,703.92, 19,032.84 and 12,427.44

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Solution

The fourth proportional to 12,703.92, 19,032.84 and 12,427.44 is: 18,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.92 : 19,032.84 = 12,427.44 : x
  2. Step 2: Convert to fraction form
    12,703.92/19,032.84 = 12,427.44/x
  3. Step 3: Cross multiply
    12,703.92x = 19,032.84 × 12,427.44
  4. Step 4: Simplify right side
    12,703.92x = 236,529,477.13
  5. Step 5: Solve for x
    x = 236,529,477.13/12,703.92
  6. Step 6: Final answer
    x = 18,618.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.