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Finding the Fourth Proportional to 2,877.81, 3,973.97 and 1,817.45

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Solution

The fourth proportional to 2,877.81, 3,973.97 and 1,817.45 is: 2,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.81 : 3,973.97 = 1,817.45 : x
  2. Step 2: Convert to fraction form
    2,877.81/3,973.97 = 1,817.45/x
  3. Step 3: Cross multiply
    2,877.81x = 3,973.97 × 1,817.45
  4. Step 4: Simplify right side
    2,877.81x = 7,222,462.82
  5. Step 5: Solve for x
    x = 7,222,462.82/2,877.81
  6. Step 6: Final answer
    x = 2,509.71

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1.5x scale

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.