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Finding the Fourth Proportional to 11,617.96, 16,032.96 and 6,312.88

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Solution

The fourth proportional to 11,617.96, 16,032.96 and 6,312.88 is: 8,711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.96 : 16,032.96 = 6,312.88 : x
  2. Step 2: Convert to fraction form
    11,617.96/16,032.96 = 6,312.88/x
  3. Step 3: Cross multiply
    11,617.96x = 16,032.96 × 6,312.88
  4. Step 4: Simplify right side
    11,617.96x = 101,214,152.52
  5. Step 5: Solve for x
    x = 101,214,152.52/11,617.96
  6. Step 6: Final answer
    x = 8,711.87

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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.