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Finding the Fourth Proportional to 11,760.72, 16,230.06 and 6,455.88

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Solution

The fourth proportional to 11,760.72, 16,230.06 and 6,455.88 is: 8,909.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.72 : 16,230.06 = 6,455.88 : x
  2. Step 2: Convert to fraction form
    11,760.72/16,230.06 = 6,455.88/x
  3. Step 3: Cross multiply
    11,760.72x = 16,230.06 × 6,455.88
  4. Step 4: Simplify right side
    11,760.72x = 104,779,319.75
  5. Step 5: Solve for x
    x = 104,779,319.75/11,760.72
  6. Step 6: Final answer
    x = 8,909.26

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