Home / 5,784-7,996.32-5,539.20

Finding the Fourth Proportional to 5,784, 7,996.32 and 5,539.20

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Solution

The fourth proportional to 5,784, 7,996.32 and 5,539.20 is: 7,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784 : 7,996.32 = 5,539.20 : x
  2. Step 2: Convert to fraction form
    5,784/7,996.32 = 5,539.20/x
  3. Step 3: Cross multiply
    5,784x = 7,996.32 × 5,539.20
  4. Step 4: Simplify right side
    5,784x = 44,293,215.74
  5. Step 5: Solve for x
    x = 44,293,215.74/5,784
  6. Step 6: Final answer
    x = 7,657.89

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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.