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Finding the Fourth Proportional to 3,789.60, 5,681.94 and 1,597.20

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Solution

The fourth proportional to 3,789.60, 5,681.94 and 1,597.20 is: 2,394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.60 : 5,681.94 = 1,597.20 : x
  2. Step 2: Convert to fraction form
    3,789.60/5,681.94 = 1,597.20/x
  3. Step 3: Cross multiply
    3,789.60x = 5,681.94 × 1,597.20
  4. Step 4: Simplify right side
    3,789.60x = 9,075,194.57
  5. Step 5: Solve for x
    x = 9,075,194.57/3,789.60
  6. Step 6: Final answer
    x = 2,394.76

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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.