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Finding the Fourth Proportional to 11,537.57, 15,922.08 and 6,433.40

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Solution

The fourth proportional to 11,537.57, 15,922.08 and 6,433.40 is: 8,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.57 : 15,922.08 = 6,433.40 : x
  2. Step 2: Convert to fraction form
    11,537.57/15,922.08 = 6,433.40/x
  3. Step 3: Cross multiply
    11,537.57x = 15,922.08 × 6,433.40
  4. Step 4: Simplify right side
    11,537.57x = 102,433,109.47
  5. Step 5: Solve for x
    x = 102,433,109.47/11,537.57
  6. Step 6: Final answer
    x = 8,878.22

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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.