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Finding the Fourth Proportional to 12,085.68, 16,648.40 and 10,511.04

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Solution

The fourth proportional to 12,085.68, 16,648.40 and 10,511.04 is: 14,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.68 : 16,648.40 = 10,511.04 : x
  2. Step 2: Convert to fraction form
    12,085.68/16,648.40 = 10,511.04/x
  3. Step 3: Cross multiply
    12,085.68x = 16,648.40 × 10,511.04
  4. Step 4: Simplify right side
    12,085.68x = 174,991,998.34
  5. Step 5: Solve for x
    x = 174,991,998.34/12,085.68
  6. Step 6: Final answer
    x = 14,479.28

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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.