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Finding the Fourth Proportional to 11,547.36, 17,317.80 and 3,761.64

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Solution

The fourth proportional to 11,547.36, 17,317.80 and 3,761.64 is: 5,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.36 : 17,317.80 = 3,761.64 : x
  2. Step 2: Convert to fraction form
    11,547.36/17,317.80 = 3,761.64/x
  3. Step 3: Cross multiply
    11,547.36x = 17,317.80 × 3,761.64
  4. Step 4: Simplify right side
    11,547.36x = 65,143,329.19
  5. Step 5: Solve for x
    x = 65,143,329.19/11,547.36
  6. Step 6: Final answer
    x = 5,641.40

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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.