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Finding the Fourth Proportional to 12,784.80, 19,064.28 and 11,231.16

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Solution

The fourth proportional to 12,784.80, 19,064.28 and 11,231.16 is: 16,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.80 : 19,064.28 = 11,231.16 : x
  2. Step 2: Convert to fraction form
    12,784.80/19,064.28 = 11,231.16/x
  3. Step 3: Cross multiply
    12,784.80x = 19,064.28 × 11,231.16
  4. Step 4: Simplify right side
    12,784.80x = 214,113,978.96
  5. Step 5: Solve for x
    x = 214,113,978.96/12,784.80
  6. Step 6: Final answer
    x = 16,747.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.