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Finding the Fourth Proportional to 8,487.81, 12,730.10 and 3,293.01

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Solution

The fourth proportional to 8,487.81, 12,730.10 and 3,293.01 is: 4,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,487.81 : 12,730.10 = 3,293.01 : x
  2. Step 2: Convert to fraction form
    8,487.81/12,730.10 = 3,293.01/x
  3. Step 3: Cross multiply
    8,487.81x = 12,730.10 × 3,293.01
  4. Step 4: Simplify right side
    8,487.81x = 41,920,330.14
  5. Step 5: Solve for x
    x = 41,920,330.14/8,487.81
  6. Step 6: Final answer
    x = 4,938.89

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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.