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Finding the Fourth Proportional to 12,523, 18,782.86 and 6,281.94

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Solution

The fourth proportional to 12,523, 18,782.86 and 6,281.94 is: 9,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523 : 18,782.86 = 6,281.94 : x
  2. Step 2: Convert to fraction form
    12,523/18,782.86 = 6,281.94/x
  3. Step 3: Cross multiply
    12,523x = 18,782.86 × 6,281.94
  4. Step 4: Simplify right side
    12,523x = 117,992,799.55
  5. Step 5: Solve for x
    x = 117,992,799.55/12,523
  6. Step 6: Final answer
    x = 9,422.09

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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.