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Finding the Fourth Proportional to 3,648.60, 5,472.36 and 1,310.40

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Solution

The fourth proportional to 3,648.60, 5,472.36 and 1,310.40 is: 1,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.60 : 5,472.36 = 1,310.40 : x
  2. Step 2: Convert to fraction form
    3,648.60/5,472.36 = 1,310.40/x
  3. Step 3: Cross multiply
    3,648.60x = 5,472.36 × 1,310.40
  4. Step 4: Simplify right side
    3,648.60x = 7,170,980.54
  5. Step 5: Solve for x
    x = 7,170,980.54/3,648.60
  6. Step 6: Final answer
    x = 1,965.41

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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.