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Finding the Fourth Proportional to 11,773, 17,659.50 and 3,565

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Solution

The fourth proportional to 11,773, 17,659.50 and 3,565 is: 5,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773 : 17,659.50 = 3,565 : x
  2. Step 2: Convert to fraction form
    11,773/17,659.50 = 3,565/x
  3. Step 3: Cross multiply
    11,773x = 17,659.50 × 3,565
  4. Step 4: Simplify right side
    11,773x = 62,956,117.50
  5. Step 5: Solve for x
    x = 62,956,117.50/11,773
  6. Step 6: Final answer
    x = 5,347.50

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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.