Home / 5,209.25-7,813.88-1,561.25

Finding the Fourth Proportional to 5,209.25, 7,813.88 and 1,561.25

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Solution

The fourth proportional to 5,209.25, 7,813.88 and 1,561.25 is: 2,341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.25 : 7,813.88 = 1,561.25 : x
  2. Step 2: Convert to fraction form
    5,209.25/7,813.88 = 1,561.25/x
  3. Step 3: Cross multiply
    5,209.25x = 7,813.88 × 1,561.25
  4. Step 4: Simplify right side
    5,209.25x = 12,199,412.34
  5. Step 5: Solve for x
    x = 12,199,412.34/5,209.25
  6. Step 6: Final answer
    x = 2,341.88

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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.