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Finding the Fourth Proportional to 8,045.84, 12,071.24 and 2,780.96

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Solution

The fourth proportional to 8,045.84, 12,071.24 and 2,780.96 is: 4,172.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.84 : 12,071.24 = 2,780.96 : x
  2. Step 2: Convert to fraction form
    8,045.84/12,071.24 = 2,780.96/x
  3. Step 3: Cross multiply
    8,045.84x = 12,071.24 × 2,780.96
  4. Step 4: Simplify right side
    8,045.84x = 33,569,635.59
  5. Step 5: Solve for x
    x = 33,569,635.59/8,045.84
  6. Step 6: Final answer
    x = 4,172.30

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1.5x scale

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.