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Finding the Fourth Proportional to 8,051.81, 11,116.64 and 7,211.03

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Solution

The fourth proportional to 8,051.81, 11,116.64 and 7,211.03 is: 9,955.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.81 : 11,116.64 = 7,211.03 : x
  2. Step 2: Convert to fraction form
    8,051.81/11,116.64 = 7,211.03/x
  3. Step 3: Cross multiply
    8,051.81x = 11,116.64 × 7,211.03
  4. Step 4: Simplify right side
    8,051.81x = 80,162,386.98
  5. Step 5: Solve for x
    x = 80,162,386.98/8,051.81
  6. Step 6: Final answer
    x = 9,955.83

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Half scale
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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.