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Finding the Fourth Proportional to 7,874.94, 10,857.30 and 6,453.38

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Solution

The fourth proportional to 7,874.94, 10,857.30 and 6,453.38 is: 8,897.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.94 : 10,857.30 = 6,453.38 : x
  2. Step 2: Convert to fraction form
    7,874.94/10,857.30 = 6,453.38/x
  3. Step 3: Cross multiply
    7,874.94x = 10,857.30 × 6,453.38
  4. Step 4: Simplify right side
    7,874.94x = 70,066,282.67
  5. Step 5: Solve for x
    x = 70,066,282.67/7,874.94
  6. Step 6: Final answer
    x = 8,897.37

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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.