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Finding the Fourth Proportional to 4,677, 7,015.81 and 1,556.88

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Solution

The fourth proportional to 4,677, 7,015.81 and 1,556.88 is: 2,335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677 : 7,015.81 = 1,556.88 : x
  2. Step 2: Convert to fraction form
    4,677/7,015.81 = 1,556.88/x
  3. Step 3: Cross multiply
    4,677x = 7,015.81 × 1,556.88
  4. Step 4: Simplify right side
    4,677x = 10,922,774.27
  5. Step 5: Solve for x
    x = 10,922,774.27/4,677
  6. Step 6: Final answer
    x = 2,335.42

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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.