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Finding the Fourth Proportional to 1,948.85, 2,919.36 and 907.43

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Solution

The fourth proportional to 1,948.85, 2,919.36 and 907.43 is: 1,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.85 : 2,919.36 = 907.43 : x
  2. Step 2: Convert to fraction form
    1,948.85/2,919.36 = 907.43/x
  3. Step 3: Cross multiply
    1,948.85x = 2,919.36 × 907.43
  4. Step 4: Simplify right side
    1,948.85x = 2,649,100.25
  5. Step 5: Solve for x
    x = 2,649,100.25/1,948.85
  6. Step 6: Final answer
    x = 1,359.32

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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.