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Finding the Fourth Proportional to 1,813.81, 2,503.05 and 1,017.14

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Solution

The fourth proportional to 1,813.81, 2,503.05 and 1,017.14 is: 1,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.81 : 2,503.05 = 1,017.14 : x
  2. Step 2: Convert to fraction form
    1,813.81/2,503.05 = 1,017.14/x
  3. Step 3: Cross multiply
    1,813.81x = 2,503.05 × 1,017.14
  4. Step 4: Simplify right side
    1,813.81x = 2,545,966.31
  5. Step 5: Solve for x
    x = 2,545,966.31/1,813.81
  6. Step 6: Final answer
    x = 1,403.66

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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.