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Finding the Fourth Proportional to 9,869.91, 13,616.37 and 6,465.96

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Solution

The fourth proportional to 9,869.91, 13,616.37 and 6,465.96 is: 8,920.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.91 : 13,616.37 = 6,465.96 : x
  2. Step 2: Convert to fraction form
    9,869.91/13,616.37 = 6,465.96/x
  3. Step 3: Cross multiply
    9,869.91x = 13,616.37 × 6,465.96
  4. Step 4: Simplify right side
    9,869.91x = 88,042,903.77
  5. Step 5: Solve for x
    x = 88,042,903.77/9,869.91
  6. Step 6: Final answer
    x = 8,920.34

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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.