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Finding the Fourth Proportional to 6,611.36, 9,916.14 and 3,655.28

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Solution

The fourth proportional to 6,611.36, 9,916.14 and 3,655.28 is: 5,482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.36 : 9,916.14 = 3,655.28 : x
  2. Step 2: Convert to fraction form
    6,611.36/9,916.14 = 3,655.28/x
  3. Step 3: Cross multiply
    6,611.36x = 9,916.14 × 3,655.28
  4. Step 4: Simplify right side
    6,611.36x = 36,246,268.22
  5. Step 5: Solve for x
    x = 36,246,268.22/6,611.36
  6. Step 6: Final answer
    x = 5,482.42

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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.