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Finding the Fourth Proportional to 7,971.46, 11,000.97 and 6,642.94

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Solution

The fourth proportional to 7,971.46, 11,000.97 and 6,642.94 is: 9,167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.46 : 11,000.97 = 6,642.94 : x
  2. Step 2: Convert to fraction form
    7,971.46/11,000.97 = 6,642.94/x
  3. Step 3: Cross multiply
    7,971.46x = 11,000.97 × 6,642.94
  4. Step 4: Simplify right side
    7,971.46x = 73,078,783.65
  5. Step 5: Solve for x
    x = 73,078,783.65/7,971.46
  6. Step 6: Final answer
    x = 9,167.55

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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.