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Finding the Fourth Proportional to 8,196.90, 11,312.68 and 4,660.64

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Solution

The fourth proportional to 8,196.90, 11,312.68 and 4,660.64 is: 6,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.90 : 11,312.68 = 4,660.64 : x
  2. Step 2: Convert to fraction form
    8,196.90/11,312.68 = 4,660.64/x
  3. Step 3: Cross multiply
    8,196.90x = 11,312.68 × 4,660.64
  4. Step 4: Simplify right side
    8,196.90x = 52,724,328.92
  5. Step 5: Solve for x
    x = 52,724,328.92/8,196.90
  6. Step 6: Final answer
    x = 6,432.23

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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.