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Finding the Fourth Proportional to 1,913.90, 2,870.49 and 939.38

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Solution

The fourth proportional to 1,913.90, 2,870.49 and 939.38 is: 1,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.90 : 2,870.49 = 939.38 : x
  2. Step 2: Convert to fraction form
    1,913.90/2,870.49 = 939.38/x
  3. Step 3: Cross multiply
    1,913.90x = 2,870.49 × 939.38
  4. Step 4: Simplify right side
    1,913.90x = 2,696,480.90
  5. Step 5: Solve for x
    x = 2,696,480.90/1,913.90
  6. Step 6: Final answer
    x = 1,408.89

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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.