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Finding the Fourth Proportional to 5,638, 7,780.44 and 3,154

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Solution

The fourth proportional to 5,638, 7,780.44 and 3,154 is: 4,352.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638 : 7,780.44 = 3,154 : x
  2. Step 2: Convert to fraction form
    5,638/7,780.44 = 3,154/x
  3. Step 3: Cross multiply
    5,638x = 7,780.44 × 3,154
  4. Step 4: Simplify right side
    5,638x = 24,539,507.76
  5. Step 5: Solve for x
    x = 24,539,507.76/5,638
  6. Step 6: Final answer
    x = 4,352.52

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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.