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Finding the Fourth Proportional to 8,109.50, 12,164.25 and 1,953.50

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Solution

The fourth proportional to 8,109.50, 12,164.25 and 1,953.50 is: 2,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.50 : 12,164.25 = 1,953.50 : x
  2. Step 2: Convert to fraction form
    8,109.50/12,164.25 = 1,953.50/x
  3. Step 3: Cross multiply
    8,109.50x = 12,164.25 × 1,953.50
  4. Step 4: Simplify right side
    8,109.50x = 23,762,862.38
  5. Step 5: Solve for x
    x = 23,762,862.38/8,109.50
  6. Step 6: Final answer
    x = 2,930.25

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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.