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Finding the Fourth Proportional to 3,728.88, 5,588.88 and 1,534.80

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Solution

The fourth proportional to 3,728.88, 5,588.88 and 1,534.80 is: 2,300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.88 : 5,588.88 = 1,534.80 : x
  2. Step 2: Convert to fraction form
    3,728.88/5,588.88 = 1,534.80/x
  3. Step 3: Cross multiply
    3,728.88x = 5,588.88 × 1,534.80
  4. Step 4: Simplify right side
    3,728.88x = 8,577,813.02
  5. Step 5: Solve for x
    x = 8,577,813.02/3,728.88
  6. Step 6: Final answer
    x = 2,300.37

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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.