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Finding the Fourth Proportional to 7,161.41, 9,883.57 and 6,931.78

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Solution

The fourth proportional to 7,161.41, 9,883.57 and 6,931.78 is: 9,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.41 : 9,883.57 = 6,931.78 : x
  2. Step 2: Convert to fraction form
    7,161.41/9,883.57 = 6,931.78/x
  3. Step 3: Cross multiply
    7,161.41x = 9,883.57 × 6,931.78
  4. Step 4: Simplify right side
    7,161.41x = 68,510,703.81
  5. Step 5: Solve for x
    x = 68,510,703.81/7,161.41
  6. Step 6: Final answer
    x = 9,566.65

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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.