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Finding the Fourth Proportional to 8,071, 12,106.96 and 2,876.88

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Solution

The fourth proportional to 8,071, 12,106.96 and 2,876.88 is: 4,315.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071 : 12,106.96 = 2,876.88 : x
  2. Step 2: Convert to fraction form
    8,071/12,106.96 = 2,876.88/x
  3. Step 3: Cross multiply
    8,071x = 12,106.96 × 2,876.88
  4. Step 4: Simplify right side
    8,071x = 34,830,271.08
  5. Step 5: Solve for x
    x = 34,830,271.08/8,071
  6. Step 6: Final answer
    x = 4,315.48

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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.