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Finding the Fourth Proportional to 12,005.08, 16,478.87 and 10,649.16

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Solution

The fourth proportional to 12,005.08, 16,478.87 and 10,649.16 is: 14,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.08 : 16,478.87 = 10,649.16 : x
  2. Step 2: Convert to fraction form
    12,005.08/16,478.87 = 10,649.16/x
  3. Step 3: Cross multiply
    12,005.08x = 16,478.87 × 10,649.16
  4. Step 4: Simplify right side
    12,005.08x = 175,486,123.25
  5. Step 5: Solve for x
    x = 175,486,123.25/12,005.08
  6. Step 6: Final answer
    x = 14,617.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.