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Finding the Fourth Proportional to 11,570.77, 17,356 and 2,805.76

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Solution

The fourth proportional to 11,570.77, 17,356 and 2,805.76 is: 4,208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.77 : 17,356 = 2,805.76 : x
  2. Step 2: Convert to fraction form
    11,570.77/17,356 = 2,805.76/x
  3. Step 3: Cross multiply
    11,570.77x = 17,356 × 2,805.76
  4. Step 4: Simplify right side
    11,570.77x = 48,696,770.56
  5. Step 5: Solve for x
    x = 48,696,770.56/11,570.77
  6. Step 6: Final answer
    x = 4,208.60

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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.