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Finding the Fourth Proportional to 3,462.59, 4,778.64 and 1,970.57

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Solution

The fourth proportional to 3,462.59, 4,778.64 and 1,970.57 is: 2,719.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.59 : 4,778.64 = 1,970.57 : x
  2. Step 2: Convert to fraction form
    3,462.59/4,778.64 = 1,970.57/x
  3. Step 3: Cross multiply
    3,462.59x = 4,778.64 × 1,970.57
  4. Step 4: Simplify right side
    3,462.59x = 9,416,644.62
  5. Step 5: Solve for x
    x = 9,416,644.62/3,462.59
  6. Step 6: Final answer
    x = 2,719.54

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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.