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Finding the Fourth Proportional to 9,421.92, 13,000.56 and 6,108

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Solution

The fourth proportional to 9,421.92, 13,000.56 and 6,108 is: 8,427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.92 : 13,000.56 = 6,108 : x
  2. Step 2: Convert to fraction form
    9,421.92/13,000.56 = 6,108/x
  3. Step 3: Cross multiply
    9,421.92x = 13,000.56 × 6,108
  4. Step 4: Simplify right side
    9,421.92x = 79,407,420.48
  5. Step 5: Solve for x
    x = 79,407,420.48/9,421.92
  6. Step 6: Final answer
    x = 8,427.94

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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.