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Finding the Fourth Proportional to 3,235.60, 4,851.60 and 1,386.40

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Solution

The fourth proportional to 3,235.60, 4,851.60 and 1,386.40 is: 2,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.60 : 4,851.60 = 1,386.40 : x
  2. Step 2: Convert to fraction form
    3,235.60/4,851.60 = 1,386.40/x
  3. Step 3: Cross multiply
    3,235.60x = 4,851.60 × 1,386.40
  4. Step 4: Simplify right side
    3,235.60x = 6,726,258.24
  5. Step 5: Solve for x
    x = 6,726,258.24/3,235.60
  6. Step 6: Final answer
    x = 2,078.83

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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.