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Finding the Fourth Proportional to 7,690.44, 10,592.10 and 6,640.68

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Solution

The fourth proportional to 7,690.44, 10,592.10 and 6,640.68 is: 9,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.44 : 10,592.10 = 6,640.68 : x
  2. Step 2: Convert to fraction form
    7,690.44/10,592.10 = 6,640.68/x
  3. Step 3: Cross multiply
    7,690.44x = 10,592.10 × 6,640.68
  4. Step 4: Simplify right side
    7,690.44x = 70,338,746.63
  5. Step 5: Solve for x
    x = 70,338,746.63/7,690.44
  6. Step 6: Final answer
    x = 9,146.26

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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.