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Finding the Fourth Proportional to 3,257.40, 4,887.54 and 1,313.40

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Solution

The fourth proportional to 3,257.40, 4,887.54 and 1,313.40 is: 1,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.40 : 4,887.54 = 1,313.40 : x
  2. Step 2: Convert to fraction form
    3,257.40/4,887.54 = 1,313.40/x
  3. Step 3: Cross multiply
    3,257.40x = 4,887.54 × 1,313.40
  4. Step 4: Simplify right side
    3,257.40x = 6,419,295.04
  5. Step 5: Solve for x
    x = 6,419,295.04/3,257.40
  6. Step 6: Final answer
    x = 1,970.68

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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.