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Finding the Fourth Proportional to 6,355.56, 8,770.66 and 3,561

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Solution

The fourth proportional to 6,355.56, 8,770.66 and 3,561 is: 4,914.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.56 : 8,770.66 = 3,561 : x
  2. Step 2: Convert to fraction form
    6,355.56/8,770.66 = 3,561/x
  3. Step 3: Cross multiply
    6,355.56x = 8,770.66 × 3,561
  4. Step 4: Simplify right side
    6,355.56x = 31,232,320.26
  5. Step 5: Solve for x
    x = 31,232,320.26/6,355.56
  6. Step 6: Final answer
    x = 4,914.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.