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Finding the Fourth Proportional to 6,724, 9,278.88 and 3,739.76

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Solution

The fourth proportional to 6,724, 9,278.88 and 3,739.76 is: 5,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724 : 9,278.88 = 3,739.76 : x
  2. Step 2: Convert to fraction form
    6,724/9,278.88 = 3,739.76/x
  3. Step 3: Cross multiply
    6,724x = 9,278.88 × 3,739.76
  4. Step 4: Simplify right side
    6,724x = 34,700,784.27
  5. Step 5: Solve for x
    x = 34,700,784.27/6,724
  6. Step 6: Final answer
    x = 5,160.74

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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.