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Finding the Fourth Proportional to 5,209.50, 7,814.25 and 1,561.50

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Solution

The fourth proportional to 5,209.50, 7,814.25 and 1,561.50 is: 2,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.50 : 7,814.25 = 1,561.50 : x
  2. Step 2: Convert to fraction form
    5,209.50/7,814.25 = 1,561.50/x
  3. Step 3: Cross multiply
    5,209.50x = 7,814.25 × 1,561.50
  4. Step 4: Simplify right side
    5,209.50x = 12,201,951.38
  5. Step 5: Solve for x
    x = 12,201,951.38/5,209.50
  6. Step 6: Final answer
    x = 2,342.25

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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.