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Finding the Fourth Proportional to 16,672, 25,016.64 and 8,464

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Solution

The fourth proportional to 16,672, 25,016.64 and 8,464 is: 12,700.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,672 : 25,016.64 = 8,464 : x
  2. Step 2: Convert to fraction form
    16,672/25,016.64 = 8,464/x
  3. Step 3: Cross multiply
    16,672x = 25,016.64 × 8,464
  4. Step 4: Simplify right side
    16,672x = 211,740,840.96
  5. Step 5: Solve for x
    x = 211,740,840.96/16,672
  6. Step 6: Final answer
    x = 12,700.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.