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Finding the Fourth Proportional to 5,412.62, 8,119.62 and 1,713.53

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Solution

The fourth proportional to 5,412.62, 8,119.62 and 1,713.53 is: 2,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.62 : 8,119.62 = 1,713.53 : x
  2. Step 2: Convert to fraction form
    5,412.62/8,119.62 = 1,713.53/x
  3. Step 3: Cross multiply
    5,412.62x = 8,119.62 × 1,713.53
  4. Step 4: Simplify right side
    5,412.62x = 13,913,205.10
  5. Step 5: Solve for x
    x = 13,913,205.10/5,412.62
  6. Step 6: Final answer
    x = 2,570.51

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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.