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Finding the Fourth Proportional to 7,903.48, 11,856.92 and 4,205.17

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Solution

The fourth proportional to 7,903.48, 11,856.92 and 4,205.17 is: 6,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.48 : 11,856.92 = 4,205.17 : x
  2. Step 2: Convert to fraction form
    7,903.48/11,856.92 = 4,205.17/x
  3. Step 3: Cross multiply
    7,903.48x = 11,856.92 × 4,205.17
  4. Step 4: Simplify right side
    7,903.48x = 49,860,364.28
  5. Step 5: Solve for x
    x = 49,860,364.28/7,903.48
  6. Step 6: Final answer
    x = 6,308.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.