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Finding the Fourth Proportional to 16,965, 25,440.30 and 6,433.20

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Solution

The fourth proportional to 16,965, 25,440.30 and 6,433.20 is: 9,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965 : 25,440.30 = 6,433.20 : x
  2. Step 2: Convert to fraction form
    16,965/25,440.30 = 6,433.20/x
  3. Step 3: Cross multiply
    16,965x = 25,440.30 × 6,433.20
  4. Step 4: Simplify right side
    16,965x = 163,662,537.96
  5. Step 5: Solve for x
    x = 163,662,537.96/16,965
  6. Step 6: Final answer
    x = 9,647.07

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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.