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Finding the Fourth Proportional to 7,219.75, 10,829.63 and 2,602.75

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Solution

The fourth proportional to 7,219.75, 10,829.63 and 2,602.75 is: 3,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.75 : 10,829.63 = 2,602.75 : x
  2. Step 2: Convert to fraction form
    7,219.75/10,829.63 = 2,602.75/x
  3. Step 3: Cross multiply
    7,219.75x = 10,829.63 × 2,602.75
  4. Step 4: Simplify right side
    7,219.75x = 28,186,819.48
  5. Step 5: Solve for x
    x = 28,186,819.48/7,219.75
  6. Step 6: Final answer
    x = 3,904.13

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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.