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Finding the Fourth Proportional to 3,464.50, 4,780.86 and 1,952.02

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Solution

The fourth proportional to 3,464.50, 4,780.86 and 1,952.02 is: 2,693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.50 : 4,780.86 = 1,952.02 : x
  2. Step 2: Convert to fraction form
    3,464.50/4,780.86 = 1,952.02/x
  3. Step 3: Cross multiply
    3,464.50x = 4,780.86 × 1,952.02
  4. Step 4: Simplify right side
    3,464.50x = 9,332,334.34
  5. Step 5: Solve for x
    x = 9,332,334.34/3,464.50
  6. Step 6: Final answer
    x = 2,693.70

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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.