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Finding the Fourth Proportional to 7,873.32, 10,869.70 and 5,224.32

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Solution

The fourth proportional to 7,873.32, 10,869.70 and 5,224.32 is: 7,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.32 : 10,869.70 = 5,224.32 : x
  2. Step 2: Convert to fraction form
    7,873.32/10,869.70 = 5,224.32/x
  3. Step 3: Cross multiply
    7,873.32x = 10,869.70 × 5,224.32
  4. Step 4: Simplify right side
    7,873.32x = 56,786,791.10
  5. Step 5: Solve for x
    x = 56,786,791.10/7,873.32
  6. Step 6: Final answer
    x = 7,212.56

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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.