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Finding the Fourth Proportional to 7,111.62, 10,667.43 and 1,917.72

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Solution

The fourth proportional to 7,111.62, 10,667.43 and 1,917.72 is: 2,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.62 : 10,667.43 = 1,917.72 : x
  2. Step 2: Convert to fraction form
    7,111.62/10,667.43 = 1,917.72/x
  3. Step 3: Cross multiply
    7,111.62x = 10,667.43 × 1,917.72
  4. Step 4: Simplify right side
    7,111.62x = 20,457,143.86
  5. Step 5: Solve for x
    x = 20,457,143.86/7,111.62
  6. Step 6: Final answer
    x = 2,876.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.