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Finding the Fourth Proportional to 12,782.88, 19,282.32 and 12,110.64

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Solution

The fourth proportional to 12,782.88, 19,282.32 and 12,110.64 is: 18,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.88 : 19,282.32 = 12,110.64 : x
  2. Step 2: Convert to fraction form
    12,782.88/19,282.32 = 12,110.64/x
  3. Step 3: Cross multiply
    12,782.88x = 19,282.32 × 12,110.64
  4. Step 4: Simplify right side
    12,782.88x = 233,521,235.88
  5. Step 5: Solve for x
    x = 233,521,235.88/12,782.88
  6. Step 6: Final answer
    x = 18,268.28

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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.