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Finding the Fourth Proportional to 9,273.98, 12,803.94 and 6,440.45

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Solution

The fourth proportional to 9,273.98, 12,803.94 and 6,440.45 is: 8,891.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273.98 : 12,803.94 = 6,440.45 : x
  2. Step 2: Convert to fraction form
    9,273.98/12,803.94 = 6,440.45/x
  3. Step 3: Cross multiply
    9,273.98x = 12,803.94 × 6,440.45
  4. Step 4: Simplify right side
    9,273.98x = 82,463,095.22
  5. Step 5: Solve for x
    x = 82,463,095.22/9,273.98
  6. Step 6: Final answer
    x = 8,891.88

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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.