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Finding the Fourth Proportional to 1,416.72, 1,954.41 and 944.49

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Solution

The fourth proportional to 1,416.72, 1,954.41 and 944.49 is: 1,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.72 : 1,954.41 = 944.49 : x
  2. Step 2: Convert to fraction form
    1,416.72/1,954.41 = 944.49/x
  3. Step 3: Cross multiply
    1,416.72x = 1,954.41 × 944.49
  4. Step 4: Simplify right side
    1,416.72x = 1,845,920.70
  5. Step 5: Solve for x
    x = 1,845,920.70/1,416.72
  6. Step 6: Final answer
    x = 1,302.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.