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Finding the Fourth Proportional to 5,209.52, 7,811.76 and 1,744.32

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Solution

The fourth proportional to 5,209.52, 7,811.76 and 1,744.32 is: 2,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.52 : 7,811.76 = 1,744.32 : x
  2. Step 2: Convert to fraction form
    5,209.52/7,811.76 = 1,744.32/x
  3. Step 3: Cross multiply
    5,209.52x = 7,811.76 × 1,744.32
  4. Step 4: Simplify right side
    5,209.52x = 13,626,209.20
  5. Step 5: Solve for x
    x = 13,626,209.20/5,209.52
  6. Step 6: Final answer
    x = 2,615.64

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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.