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Finding the Fourth Proportional to 5,913.88, 8,870.82 and 3,318.64

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Solution

The fourth proportional to 5,913.88, 8,870.82 and 3,318.64 is: 4,977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.88 : 8,870.82 = 3,318.64 : x
  2. Step 2: Convert to fraction form
    5,913.88/8,870.82 = 3,318.64/x
  3. Step 3: Cross multiply
    5,913.88x = 8,870.82 × 3,318.64
  4. Step 4: Simplify right side
    5,913.88x = 29,439,023.46
  5. Step 5: Solve for x
    x = 29,439,023.46/5,913.88
  6. Step 6: Final answer
    x = 4,977.96

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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.