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Finding the Fourth Proportional to 7,049.12, 9,727.79 and 3,905.30

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Solution

The fourth proportional to 7,049.12, 9,727.79 and 3,905.30 is: 5,389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.12 : 9,727.79 = 3,905.30 : x
  2. Step 2: Convert to fraction form
    7,049.12/9,727.79 = 3,905.30/x
  3. Step 3: Cross multiply
    7,049.12x = 9,727.79 × 3,905.30
  4. Step 4: Simplify right side
    7,049.12x = 37,989,943.08
  5. Step 5: Solve for x
    x = 37,989,943.08/7,049.12
  6. Step 6: Final answer
    x = 5,389.32

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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.