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Finding the Fourth Proportional to 9,842.81, 13,587.89 and 6,672.80

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Solution

The fourth proportional to 9,842.81, 13,587.89 and 6,672.80 is: 9,211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.81 : 13,587.89 = 6,672.80 : x
  2. Step 2: Convert to fraction form
    9,842.81/13,587.89 = 6,672.80/x
  3. Step 3: Cross multiply
    9,842.81x = 13,587.89 × 6,672.80
  4. Step 4: Simplify right side
    9,842.81x = 90,669,273.00
  5. Step 5: Solve for x
    x = 90,669,273.00/9,842.81
  6. Step 6: Final answer
    x = 9,211.73

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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.