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Finding the Fourth Proportional to 3,078.90, 4,617 and 887.58

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Solution

The fourth proportional to 3,078.90, 4,617 and 887.58 is: 1,330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.90 : 4,617 = 887.58 : x
  2. Step 2: Convert to fraction form
    3,078.90/4,617 = 887.58/x
  3. Step 3: Cross multiply
    3,078.90x = 4,617 × 887.58
  4. Step 4: Simplify right side
    3,078.90x = 4,097,956.86
  5. Step 5: Solve for x
    x = 4,097,956.86/3,078.90
  6. Step 6: Final answer
    x = 1,330.98

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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.