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Finding the Fourth Proportional to 7,539.84, 11,315.84 and 5,198.40

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Solution

The fourth proportional to 7,539.84, 11,315.84 and 5,198.40 is: 7,801.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.84 : 11,315.84 = 5,198.40 : x
  2. Step 2: Convert to fraction form
    7,539.84/11,315.84 = 5,198.40/x
  3. Step 3: Cross multiply
    7,539.84x = 11,315.84 × 5,198.40
  4. Step 4: Simplify right side
    7,539.84x = 58,824,262.66
  5. Step 5: Solve for x
    x = 58,824,262.66/7,539.84
  6. Step 6: Final answer
    x = 7,801.79

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1.5x scale

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.