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Finding the Fourth Proportional to 4,777.98, 7,164.19 and 1,852.87

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Solution

The fourth proportional to 4,777.98, 7,164.19 and 1,852.87 is: 2,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.98 : 7,164.19 = 1,852.87 : x
  2. Step 2: Convert to fraction form
    4,777.98/7,164.19 = 1,852.87/x
  3. Step 3: Cross multiply
    4,777.98x = 7,164.19 × 1,852.87
  4. Step 4: Simplify right side
    4,777.98x = 13,274,303.46
  5. Step 5: Solve for x
    x = 13,274,303.46/4,777.98
  6. Step 6: Final answer
    x = 2,778.22

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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.