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Finding the Fourth Proportional to 6,720, 9,275.52 and 5,936.64

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Solution

The fourth proportional to 6,720, 9,275.52 and 5,936.64 is: 8,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720 : 9,275.52 = 5,936.64 : x
  2. Step 2: Convert to fraction form
    6,720/9,275.52 = 5,936.64/x
  3. Step 3: Cross multiply
    6,720x = 9,275.52 × 5,936.64
  4. Step 4: Simplify right side
    6,720x = 55,065,423.05
  5. Step 5: Solve for x
    x = 55,065,423.05/6,720
  6. Step 6: Final answer
    x = 8,194.26

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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.