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Finding the Fourth Proportional to 7,931.43, 11,950.13 and 7,181.91

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Solution

The fourth proportional to 7,931.43, 11,950.13 and 7,181.91 is: 10,820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,931.43 : 11,950.13 = 7,181.91 : x
  2. Step 2: Convert to fraction form
    7,931.43/11,950.13 = 7,181.91/x
  3. Step 3: Cross multiply
    7,931.43x = 11,950.13 × 7,181.91
  4. Step 4: Simplify right side
    7,931.43x = 85,824,776.10
  5. Step 5: Solve for x
    x = 85,824,776.10/7,931.43
  6. Step 6: Final answer
    x = 10,820.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.