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Finding the Fourth Proportional to 5,281.80, 7,917.30 and 3,089.40

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Solution

The fourth proportional to 5,281.80, 7,917.30 and 3,089.40 is: 4,630.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.80 : 7,917.30 = 3,089.40 : x
  2. Step 2: Convert to fraction form
    5,281.80/7,917.30 = 3,089.40/x
  3. Step 3: Cross multiply
    5,281.80x = 7,917.30 × 3,089.40
  4. Step 4: Simplify right side
    5,281.80x = 24,459,706.62
  5. Step 5: Solve for x
    x = 24,459,706.62/5,281.80
  6. Step 6: Final answer
    x = 4,630.94

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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.