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Finding the Fourth Proportional to 12,890.91, 17,783.12 and 8,412.59

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Solution

The fourth proportional to 12,890.91, 17,783.12 and 8,412.59 is: 11,605.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,890.91 : 17,783.12 = 8,412.59 : x
  2. Step 2: Convert to fraction form
    12,890.91/17,783.12 = 8,412.59/x
  3. Step 3: Cross multiply
    12,890.91x = 17,783.12 × 8,412.59
  4. Step 4: Simplify right side
    12,890.91x = 149,602,008.57
  5. Step 5: Solve for x
    x = 149,602,008.57/12,890.91
  6. Step 6: Final answer
    x = 11,605.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.