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Finding the Fourth Proportional to 1,503, 2,074.37 and 980.15

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Solution

The fourth proportional to 1,503, 2,074.37 and 980.15 is: 1,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503 : 2,074.37 = 980.15 : x
  2. Step 2: Convert to fraction form
    1,503/2,074.37 = 980.15/x
  3. Step 3: Cross multiply
    1,503x = 2,074.37 × 980.15
  4. Step 4: Simplify right side
    1,503x = 2,033,178.48
  5. Step 5: Solve for x
    x = 2,033,178.48/1,503
  6. Step 6: Final answer
    x = 1,352.75

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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.