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Finding the Fourth Proportional to 2,572.12, 3,860.74 and 1,751.64

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Solution

The fourth proportional to 2,572.12, 3,860.74 and 1,751.64 is: 2,629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.12 : 3,860.74 = 1,751.64 : x
  2. Step 2: Convert to fraction form
    2,572.12/3,860.74 = 1,751.64/x
  3. Step 3: Cross multiply
    2,572.12x = 3,860.74 × 1,751.64
  4. Step 4: Simplify right side
    2,572.12x = 6,762,626.61
  5. Step 5: Solve for x
    x = 6,762,626.61/2,572.12
  6. Step 6: Final answer
    x = 2,629.20

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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.