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Finding the Fourth Proportional to 2,775.81, 3,830.62 and 1,533.81

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Solution

The fourth proportional to 2,775.81, 3,830.62 and 1,533.81 is: 2,116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.81 : 3,830.62 = 1,533.81 : x
  2. Step 2: Convert to fraction form
    2,775.81/3,830.62 = 1,533.81/x
  3. Step 3: Cross multiply
    2,775.81x = 3,830.62 × 1,533.81
  4. Step 4: Simplify right side
    2,775.81x = 5,875,443.26
  5. Step 5: Solve for x
    x = 5,875,443.26/2,775.81
  6. Step 6: Final answer
    x = 2,116.66

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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.