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Finding the Fourth Proportional to 8,143, 11,231.99 and 6,461.74

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Solution

The fourth proportional to 8,143, 11,231.99 and 6,461.74 is: 8,912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143 : 11,231.99 = 6,461.74 : x
  2. Step 2: Convert to fraction form
    8,143/11,231.99 = 6,461.74/x
  3. Step 3: Cross multiply
    8,143x = 11,231.99 × 6,461.74
  4. Step 4: Simplify right side
    8,143x = 72,578,199.06
  5. Step 5: Solve for x
    x = 72,578,199.06/8,143
  6. Step 6: Final answer
    x = 8,912.96

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Double 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.