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Finding the Fourth Proportional to 5,188.56, 7,782.84 and 1,725.81

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Solution

The fourth proportional to 5,188.56, 7,782.84 and 1,725.81 is: 2,588.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.56 : 7,782.84 = 1,725.81 : x
  2. Step 2: Convert to fraction form
    5,188.56/7,782.84 = 1,725.81/x
  3. Step 3: Cross multiply
    5,188.56x = 7,782.84 × 1,725.81
  4. Step 4: Simplify right side
    5,188.56x = 13,431,703.10
  5. Step 5: Solve for x
    x = 13,431,703.10/5,188.56
  6. Step 6: Final answer
    x = 2,588.72

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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.