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Finding the Fourth Proportional to 6,592.54, 9,096.68 and 3,797.50

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Solution

The fourth proportional to 6,592.54, 9,096.68 and 3,797.50 is: 5,239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.54 : 9,096.68 = 3,797.50 : x
  2. Step 2: Convert to fraction form
    6,592.54/9,096.68 = 3,797.50/x
  3. Step 3: Cross multiply
    6,592.54x = 9,096.68 × 3,797.50
  4. Step 4: Simplify right side
    6,592.54x = 34,544,642.30
  5. Step 5: Solve for x
    x = 34,544,642.30/6,592.54
  6. Step 6: Final answer
    x = 5,239.96

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1.5x scale

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.