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Finding the Fourth Proportional to 8,510.96, 12,762.12 and 3,890

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Solution

The fourth proportional to 8,510.96, 12,762.12 and 3,890 is: 5,833.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.96 : 12,762.12 = 3,890 : x
  2. Step 2: Convert to fraction form
    8,510.96/12,762.12 = 3,890/x
  3. Step 3: Cross multiply
    8,510.96x = 12,762.12 × 3,890
  4. Step 4: Simplify right side
    8,510.96x = 49,644,646.80
  5. Step 5: Solve for x
    x = 49,644,646.80/8,510.96
  6. Step 6: Final answer
    x = 5,833.03

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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.