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Finding the Fourth Proportional to 8,197.40, 11,312.46 and 4,660.74

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Solution

The fourth proportional to 8,197.40, 11,312.46 and 4,660.74 is: 6,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.40 : 11,312.46 = 4,660.74 : x
  2. Step 2: Convert to fraction form
    8,197.40/11,312.46 = 4,660.74/x
  3. Step 3: Cross multiply
    8,197.40x = 11,312.46 × 4,660.74
  4. Step 4: Simplify right side
    8,197.40x = 52,724,434.82
  5. Step 5: Solve for x
    x = 52,724,434.82/8,197.40
  6. Step 6: Final answer
    x = 6,431.85

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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.