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Finding the Fourth Proportional to 6,730.64, 9,279.96 and 5,531.40

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Solution

The fourth proportional to 6,730.64, 9,279.96 and 5,531.40 is: 7,626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.64 : 9,279.96 = 5,531.40 : x
  2. Step 2: Convert to fraction form
    6,730.64/9,279.96 = 5,531.40/x
  3. Step 3: Cross multiply
    6,730.64x = 9,279.96 × 5,531.40
  4. Step 4: Simplify right side
    6,730.64x = 51,331,170.74
  5. Step 5: Solve for x
    x = 51,331,170.74/6,730.64
  6. Step 6: Final answer
    x = 7,626.49

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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.