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Finding the Fourth Proportional to 1,473.54, 2,208.15 and 1,311.54

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Solution

The fourth proportional to 1,473.54, 2,208.15 and 1,311.54 is: 1,965.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.54 : 2,208.15 = 1,311.54 : x
  2. Step 2: Convert to fraction form
    1,473.54/2,208.15 = 1,311.54/x
  3. Step 3: Cross multiply
    1,473.54x = 2,208.15 × 1,311.54
  4. Step 4: Simplify right side
    1,473.54x = 2,896,077.05
  5. Step 5: Solve for x
    x = 2,896,077.05/1,473.54
  6. Step 6: Final answer
    x = 1,965.39

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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.