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Finding the Fourth Proportional to 3,078.60, 4,615.40 and 969.14

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Solution

The fourth proportional to 3,078.60, 4,615.40 and 969.14 is: 1,452.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.60 : 4,615.40 = 969.14 : x
  2. Step 2: Convert to fraction form
    3,078.60/4,615.40 = 969.14/x
  3. Step 3: Cross multiply
    3,078.60x = 4,615.40 × 969.14
  4. Step 4: Simplify right side
    3,078.60x = 4,472,968.76
  5. Step 5: Solve for x
    x = 4,472,968.76/3,078.60
  6. Step 6: Final answer
    x = 1,452.92

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Why These Related Problems?

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