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Finding the Fourth Proportional to 11,916.64, 16,430.94 and 9,671.44

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Solution

The fourth proportional to 11,916.64, 16,430.94 and 9,671.44 is: 13,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.64 : 16,430.94 = 9,671.44 : x
  2. Step 2: Convert to fraction form
    11,916.64/16,430.94 = 9,671.44/x
  3. Step 3: Cross multiply
    11,916.64x = 16,430.94 × 9,671.44
  4. Step 4: Simplify right side
    11,916.64x = 158,910,850.35
  5. Step 5: Solve for x
    x = 158,910,850.35/11,916.64
  6. Step 6: Final answer
    x = 13,335.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.