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Finding the Fourth Proportional to 8,172.72, 12,263.76 and 6,802.65

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Solution

The fourth proportional to 8,172.72, 12,263.76 and 6,802.65 is: 10,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.72 : 12,263.76 = 6,802.65 : x
  2. Step 2: Convert to fraction form
    8,172.72/12,263.76 = 6,802.65/x
  3. Step 3: Cross multiply
    8,172.72x = 12,263.76 × 6,802.65
  4. Step 4: Simplify right side
    8,172.72x = 83,426,066.96
  5. Step 5: Solve for x
    x = 83,426,066.96/8,172.72
  6. Step 6: Final answer
    x = 10,207.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.