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Finding the Fourth Proportional to 3,500.95, 5,251.33 and 1,420.40

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Solution

The fourth proportional to 3,500.95, 5,251.33 and 1,420.40 is: 2,130.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.95 : 5,251.33 = 1,420.40 : x
  2. Step 2: Convert to fraction form
    3,500.95/5,251.33 = 1,420.40/x
  3. Step 3: Cross multiply
    3,500.95x = 5,251.33 × 1,420.40
  4. Step 4: Simplify right side
    3,500.95x = 7,458,955.77
  5. Step 5: Solve for x
    x = 7,458,955.77/3,500.95
  6. Step 6: Final answer
    x = 2,130.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.