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Finding the Fourth Proportional to 8,407.81, 12,580.58 and 5,262.76

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Solution

The fourth proportional to 8,407.81, 12,580.58 and 5,262.76 is: 7,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.81 : 12,580.58 = 5,262.76 : x
  2. Step 2: Convert to fraction form
    8,407.81/12,580.58 = 5,262.76/x
  3. Step 3: Cross multiply
    8,407.81x = 12,580.58 × 5,262.76
  4. Step 4: Simplify right side
    8,407.81x = 66,208,604.65
  5. Step 5: Solve for x
    x = 66,208,604.65/8,407.81
  6. Step 6: Final answer
    x = 7,874.65

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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.