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Finding the Fourth Proportional to 8,136.66, 12,198.90 and 5,209.32

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Solution

The fourth proportional to 8,136.66, 12,198.90 and 5,209.32 is: 7,810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.66 : 12,198.90 = 5,209.32 : x
  2. Step 2: Convert to fraction form
    8,136.66/12,198.90 = 5,209.32/x
  3. Step 3: Cross multiply
    8,136.66x = 12,198.90 × 5,209.32
  4. Step 4: Simplify right side
    8,136.66x = 63,547,973.75
  5. Step 5: Solve for x
    x = 63,547,973.75/8,136.66
  6. Step 6: Final answer
    x = 7,810.08

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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.