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Finding the Fourth Proportional to 1,738.79, 2,399.49 and 992.63

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Solution

The fourth proportional to 1,738.79, 2,399.49 and 992.63 is: 1,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.79 : 2,399.49 = 992.63 : x
  2. Step 2: Convert to fraction form
    1,738.79/2,399.49 = 992.63/x
  3. Step 3: Cross multiply
    1,738.79x = 2,399.49 × 992.63
  4. Step 4: Simplify right side
    1,738.79x = 2,381,805.76
  5. Step 5: Solve for x
    x = 2,381,805.76/1,738.79
  6. Step 6: Final answer
    x = 1,369.81

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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.