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Finding the Fourth Proportional to 12,328.02, 16,992.66 and 9,634.50

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Solution

The fourth proportional to 12,328.02, 16,992.66 and 9,634.50 is: 13,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.02 : 16,992.66 = 9,634.50 : x
  2. Step 2: Convert to fraction form
    12,328.02/16,992.66 = 9,634.50/x
  3. Step 3: Cross multiply
    12,328.02x = 16,992.66 × 9,634.50
  4. Step 4: Simplify right side
    12,328.02x = 163,715,782.77
  5. Step 5: Solve for x
    x = 163,715,782.77/12,328.02
  6. Step 6: Final answer
    x = 13,279.97

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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.