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Finding the Fourth Proportional to 7,137.40, 10,759.60 and 6,661.68

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Solution

The fourth proportional to 7,137.40, 10,759.60 and 6,661.68 is: 10,042.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.40 : 10,759.60 = 6,661.68 : x
  2. Step 2: Convert to fraction form
    7,137.40/10,759.60 = 6,661.68/x
  3. Step 3: Cross multiply
    7,137.40x = 10,759.60 × 6,661.68
  4. Step 4: Simplify right side
    7,137.40x = 71,677,012.13
  5. Step 5: Solve for x
    x = 71,677,012.13/7,137.40
  6. Step 6: Final answer
    x = 10,042.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.