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Finding the Fourth Proportional to 8,916.81, 13,376.56 and 3,654.64

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Solution

The fourth proportional to 8,916.81, 13,376.56 and 3,654.64 is: 5,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,916.81 : 13,376.56 = 3,654.64 : x
  2. Step 2: Convert to fraction form
    8,916.81/13,376.56 = 3,654.64/x
  3. Step 3: Cross multiply
    8,916.81x = 13,376.56 × 3,654.64
  4. Step 4: Simplify right side
    8,916.81x = 48,886,511.24
  5. Step 5: Solve for x
    x = 48,886,511.24/8,916.81
  6. Step 6: Final answer
    x = 5,482.51

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Why These Related Problems?

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