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Finding the Fourth Proportional to 7,204.76, 10,784.76 and 3,909.68

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Solution

The fourth proportional to 7,204.76, 10,784.76 and 3,909.68 is: 5,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.76 : 10,784.76 = 3,909.68 : x
  2. Step 2: Convert to fraction form
    7,204.76/10,784.76 = 3,909.68/x
  3. Step 3: Cross multiply
    7,204.76x = 10,784.76 × 3,909.68
  4. Step 4: Simplify right side
    7,204.76x = 42,164,960.48
  5. Step 5: Solve for x
    x = 42,164,960.48/7,204.76
  6. Step 6: Final answer
    x = 5,852.38

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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.