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Finding the Fourth Proportional to 3,595.60, 5,391.80 and 1,648.40

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Solution

The fourth proportional to 3,595.60, 5,391.80 and 1,648.40 is: 2,471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.60 : 5,391.80 = 1,648.40 : x
  2. Step 2: Convert to fraction form
    3,595.60/5,391.80 = 1,648.40/x
  3. Step 3: Cross multiply
    3,595.60x = 5,391.80 × 1,648.40
  4. Step 4: Simplify right side
    3,595.60x = 8,887,843.12
  5. Step 5: Solve for x
    x = 8,887,843.12/3,595.60
  6. Step 6: Final answer
    x = 2,471.87

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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.