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Finding the Fourth Proportional to 8,476, 12,714.80 and 2,320

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Solution

The fourth proportional to 8,476, 12,714.80 and 2,320 is: 3,480.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476 : 12,714.80 = 2,320 : x
  2. Step 2: Convert to fraction form
    8,476/12,714.80 = 2,320/x
  3. Step 3: Cross multiply
    8,476x = 12,714.80 × 2,320
  4. Step 4: Simplify right side
    8,476x = 29,498,336
  5. Step 5: Solve for x
    x = 29,498,336/8,476
  6. Step 6: Final answer
    x = 3,480.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.