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Finding the Fourth Proportional to 8,005.10, 12,007.65 and 2,810.30

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Solution

The fourth proportional to 8,005.10, 12,007.65 and 2,810.30 is: 4,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.10 : 12,007.65 = 2,810.30 : x
  2. Step 2: Convert to fraction form
    8,005.10/12,007.65 = 2,810.30/x
  3. Step 3: Cross multiply
    8,005.10x = 12,007.65 × 2,810.30
  4. Step 4: Simplify right side
    8,005.10x = 33,745,098.80
  5. Step 5: Solve for x
    x = 33,745,098.80/8,005.10
  6. Step 6: Final answer
    x = 4,215.45

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Similar ratio
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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.