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Finding the Fourth Proportional to 7,873.86, 10,855.03 and 5,631.82

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Solution

The fourth proportional to 7,873.86, 10,855.03 and 5,631.82 is: 7,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.86 : 10,855.03 = 5,631.82 : x
  2. Step 2: Convert to fraction form
    7,873.86/10,855.03 = 5,631.82/x
  3. Step 3: Cross multiply
    7,873.86x = 10,855.03 × 5,631.82
  4. Step 4: Simplify right side
    7,873.86x = 61,133,575.05
  5. Step 5: Solve for x
    x = 61,133,575.05/7,873.86
  6. Step 6: Final answer
    x = 7,764.12

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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.