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Finding the Fourth Proportional to 7,872.03, 10,850.04 and 5,214.81

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Solution

The fourth proportional to 7,872.03, 10,850.04 and 5,214.81 is: 7,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.03 : 10,850.04 = 5,214.81 : x
  2. Step 2: Convert to fraction form
    7,872.03/10,850.04 = 5,214.81/x
  3. Step 3: Cross multiply
    7,872.03x = 10,850.04 × 5,214.81
  4. Step 4: Simplify right side
    7,872.03x = 56,580,897.09
  5. Step 5: Solve for x
    x = 56,580,897.09/7,872.03
  6. Step 6: Final answer
    x = 7,187.59

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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.