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Finding the Fourth Proportional to 2,165.54, 3,247.05 and 703.94

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Solution

The fourth proportional to 2,165.54, 3,247.05 and 703.94 is: 1,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.54 : 3,247.05 = 703.94 : x
  2. Step 2: Convert to fraction form
    2,165.54/3,247.05 = 703.94/x
  3. Step 3: Cross multiply
    2,165.54x = 3,247.05 × 703.94
  4. Step 4: Simplify right side
    2,165.54x = 2,285,728.38
  5. Step 5: Solve for x
    x = 2,285,728.38/2,165.54
  6. Step 6: Final answer
    x = 1,055.50

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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.