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Finding the Fourth Proportional to 7,820.98, 11,731.47 and 2,630.50

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Solution

The fourth proportional to 7,820.98, 11,731.47 and 2,630.50 is: 3,945.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.98 : 11,731.47 = 2,630.50 : x
  2. Step 2: Convert to fraction form
    7,820.98/11,731.47 = 2,630.50/x
  3. Step 3: Cross multiply
    7,820.98x = 11,731.47 × 2,630.50
  4. Step 4: Simplify right side
    7,820.98x = 30,859,631.84
  5. Step 5: Solve for x
    x = 30,859,631.84/7,820.98
  6. Step 6: Final answer
    x = 3,945.75

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Similar ratio
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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.