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Finding the Fourth Proportional to 2,103.81, 2,903.14 and 1,159.42

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Solution

The fourth proportional to 2,103.81, 2,903.14 and 1,159.42 is: 1,599.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.81 : 2,903.14 = 1,159.42 : x
  2. Step 2: Convert to fraction form
    2,103.81/2,903.14 = 1,159.42/x
  3. Step 3: Cross multiply
    2,103.81x = 2,903.14 × 1,159.42
  4. Step 4: Simplify right side
    2,103.81x = 3,365,954.13
  5. Step 5: Solve for x
    x = 3,365,954.13/2,103.81
  6. Step 6: Final answer
    x = 1,599.93

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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.