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Finding the Fourth Proportional to 8,020, 12,031.68 and 2,825.92

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Solution

The fourth proportional to 8,020, 12,031.68 and 2,825.92 is: 4,239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020 : 12,031.68 = 2,825.92 : x
  2. Step 2: Convert to fraction form
    8,020/12,031.68 = 2,825.92/x
  3. Step 3: Cross multiply
    8,020x = 12,031.68 × 2,825.92
  4. Step 4: Simplify right side
    8,020x = 34,000,565.15
  5. Step 5: Solve for x
    x = 34,000,565.15/8,020
  6. Step 6: Final answer
    x = 4,239.47

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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.