Home / 8,095.80-12,144-2,829.78

Finding the Fourth Proportional to 8,095.80, 12,144 and 2,829.78

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Solution

The fourth proportional to 8,095.80, 12,144 and 2,829.78 is: 4,244.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.80 : 12,144 = 2,829.78 : x
  2. Step 2: Convert to fraction form
    8,095.80/12,144 = 2,829.78/x
  3. Step 3: Cross multiply
    8,095.80x = 12,144 × 2,829.78
  4. Step 4: Simplify right side
    8,095.80x = 34,364,848.32
  5. Step 5: Solve for x
    x = 34,364,848.32/8,095.80
  6. Step 6: Final answer
    x = 4,244.77

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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.