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Finding the Fourth Proportional to 16,956, 25,438.32 and 6,430.32

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Solution

The fourth proportional to 16,956, 25,438.32 and 6,430.32 is: 9,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,956 : 25,438.32 = 6,430.32 : x
  2. Step 2: Convert to fraction form
    16,956/25,438.32 = 6,430.32/x
  3. Step 3: Cross multiply
    16,956x = 25,438.32 × 6,430.32
  4. Step 4: Simplify right side
    16,956x = 163,576,537.86
  5. Step 5: Solve for x
    x = 163,576,537.86/16,956
  6. Step 6: Final answer
    x = 9,647.12

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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.