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Finding the Fourth Proportional to 1,723.79, 2,583.90 and 982.51

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Solution

The fourth proportional to 1,723.79, 2,583.90 and 982.51 is: 1,472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.79 : 2,583.90 = 982.51 : x
  2. Step 2: Convert to fraction form
    1,723.79/2,583.90 = 982.51/x
  3. Step 3: Cross multiply
    1,723.79x = 2,583.90 × 982.51
  4. Step 4: Simplify right side
    1,723.79x = 2,538,701.13
  5. Step 5: Solve for x
    x = 2,538,701.13/1,723.79
  6. Step 6: Final answer
    x = 1,472.74

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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.