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Finding the Fourth Proportional to 5,713.68, 8,571.60 and 1,765.20

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Solution

The fourth proportional to 5,713.68, 8,571.60 and 1,765.20 is: 2,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.68 : 8,571.60 = 1,765.20 : x
  2. Step 2: Convert to fraction form
    5,713.68/8,571.60 = 1,765.20/x
  3. Step 3: Cross multiply
    5,713.68x = 8,571.60 × 1,765.20
  4. Step 4: Simplify right side
    5,713.68x = 15,130,588.32
  5. Step 5: Solve for x
    x = 15,130,588.32/5,713.68
  6. Step 6: Final answer
    x = 2,648.13

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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.