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Finding the Fourth Proportional to 11,640.08, 17,448.78 and 6,435.02

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Solution

The fourth proportional to 11,640.08, 17,448.78 and 6,435.02 is: 9,646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.08 : 17,448.78 = 6,435.02 : x
  2. Step 2: Convert to fraction form
    11,640.08/17,448.78 = 6,435.02/x
  3. Step 3: Cross multiply
    11,640.08x = 17,448.78 × 6,435.02
  4. Step 4: Simplify right side
    11,640.08x = 112,283,248.28
  5. Step 5: Solve for x
    x = 112,283,248.28/11,640.08
  6. Step 6: Final answer
    x = 9,646.26

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