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Finding the Fourth Proportional to 7,846.88, 10,820.95 and 7,198.58

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Solution

The fourth proportional to 7,846.88, 10,820.95 and 7,198.58 is: 9,926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.88 : 10,820.95 = 7,198.58 : x
  2. Step 2: Convert to fraction form
    7,846.88/10,820.95 = 7,198.58/x
  3. Step 3: Cross multiply
    7,846.88x = 10,820.95 × 7,198.58
  4. Step 4: Simplify right side
    7,846.88x = 77,895,483.31
  5. Step 5: Solve for x
    x = 77,895,483.31/7,846.88
  6. Step 6: Final answer
    x = 9,926.94

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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.