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Finding the Fourth Proportional to 7,284.34, 10,902.21 and 5,274.73

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Solution

The fourth proportional to 7,284.34, 10,902.21 and 5,274.73 is: 7,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.34 : 10,902.21 = 5,274.73 : x
  2. Step 2: Convert to fraction form
    7,284.34/10,902.21 = 5,274.73/x
  3. Step 3: Cross multiply
    7,284.34x = 10,902.21 × 5,274.73
  4. Step 4: Simplify right side
    7,284.34x = 57,506,214.15
  5. Step 5: Solve for x
    x = 57,506,214.15/7,284.34
  6. Step 6: Final answer
    x = 7,894.50

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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.