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Finding the Fourth Proportional to 11,765, 17,647.50 and 3,557

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Solution

The fourth proportional to 11,765, 17,647.50 and 3,557 is: 5,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765 : 17,647.50 = 3,557 : x
  2. Step 2: Convert to fraction form
    11,765/17,647.50 = 3,557/x
  3. Step 3: Cross multiply
    11,765x = 17,647.50 × 3,557
  4. Step 4: Simplify right side
    11,765x = 62,772,157.50
  5. Step 5: Solve for x
    x = 62,772,157.50/11,765
  6. Step 6: Final answer
    x = 5,335.50

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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.