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Finding the Fourth Proportional to 9,293.70, 12,817.80 and 8,172.30

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Solution

The fourth proportional to 9,293.70, 12,817.80 and 8,172.30 is: 11,271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.70 : 12,817.80 = 8,172.30 : x
  2. Step 2: Convert to fraction form
    9,293.70/12,817.80 = 8,172.30/x
  3. Step 3: Cross multiply
    9,293.70x = 12,817.80 × 8,172.30
  4. Step 4: Simplify right side
    9,293.70x = 104,750,906.94
  5. Step 5: Solve for x
    x = 104,750,906.94/9,293.70
  6. Step 6: Final answer
    x = 11,271.17

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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.