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Finding the Fourth Proportional to 10,017.92, 13,815.96 and 6,477.68

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Solution

The fourth proportional to 10,017.92, 13,815.96 and 6,477.68 is: 8,933.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.92 : 13,815.96 = 6,477.68 : x
  2. Step 2: Convert to fraction form
    10,017.92/13,815.96 = 6,477.68/x
  3. Step 3: Cross multiply
    10,017.92x = 13,815.96 × 6,477.68
  4. Step 4: Simplify right side
    10,017.92x = 89,495,367.77
  5. Step 5: Solve for x
    x = 89,495,367.77/10,017.92
  6. Step 6: Final answer
    x = 8,933.53

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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.