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Finding the Fourth Proportional to 10,841.70, 16,271.81 and 7,729.32

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Solution

The fourth proportional to 10,841.70, 16,271.81 and 7,729.32 is: 11,600.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,841.70 : 16,271.81 = 7,729.32 : x
  2. Step 2: Convert to fraction form
    10,841.70/16,271.81 = 7,729.32/x
  3. Step 3: Cross multiply
    10,841.70x = 16,271.81 × 7,729.32
  4. Step 4: Simplify right side
    10,841.70x = 125,770,026.47
  5. Step 5: Solve for x
    x = 125,770,026.47/10,841.70
  6. Step 6: Final answer
    x = 11,600.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.