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Finding the Fourth Proportional to 11,965.76, 16,514.76 and 6,929.12

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Solution

The fourth proportional to 11,965.76, 16,514.76 and 6,929.12 is: 9,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.76 : 16,514.76 = 6,929.12 : x
  2. Step 2: Convert to fraction form
    11,965.76/16,514.76 = 6,929.12/x
  3. Step 3: Cross multiply
    11,965.76x = 16,514.76 × 6,929.12
  4. Step 4: Simplify right side
    11,965.76x = 114,432,753.81
  5. Step 5: Solve for x
    x = 114,432,753.81/11,965.76
  6. Step 6: Final answer
    x = 9,563.35

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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.