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Finding the Fourth Proportional to 5,783.20, 7,978.16 and 3,423.94

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Solution

The fourth proportional to 5,783.20, 7,978.16 and 3,423.94 is: 4,723.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.20 : 7,978.16 = 3,423.94 : x
  2. Step 2: Convert to fraction form
    5,783.20/7,978.16 = 3,423.94/x
  3. Step 3: Cross multiply
    5,783.20x = 7,978.16 × 3,423.94
  4. Step 4: Simplify right side
    5,783.20x = 27,316,729.76
  5. Step 5: Solve for x
    x = 27,316,729.76/5,783.20
  6. Step 6: Final answer
    x = 4,723.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.