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Finding the Fourth Proportional to 12,667.74, 19,002 and 4,347.64

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Solution

The fourth proportional to 12,667.74, 19,002 and 4,347.64 is: 6,521.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,667.74 : 19,002 = 4,347.64 : x
  2. Step 2: Convert to fraction form
    12,667.74/19,002 = 4,347.64/x
  3. Step 3: Cross multiply
    12,667.74x = 19,002 × 4,347.64
  4. Step 4: Simplify right side
    12,667.74x = 82,613,855.28
  5. Step 5: Solve for x
    x = 82,613,855.28/12,667.74
  6. Step 6: Final answer
    x = 6,521.59

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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.