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Finding the Fourth Proportional to 2,140.62, 2,954.03 and 1,503.45

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Solution

The fourth proportional to 2,140.62, 2,954.03 and 1,503.45 is: 2,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.62 : 2,954.03 = 1,503.45 : x
  2. Step 2: Convert to fraction form
    2,140.62/2,954.03 = 1,503.45/x
  3. Step 3: Cross multiply
    2,140.62x = 2,954.03 × 1,503.45
  4. Step 4: Simplify right side
    2,140.62x = 4,441,236.40
  5. Step 5: Solve for x
    x = 4,441,236.40/2,140.62
  6. Step 6: Final answer
    x = 2,074.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.