Home / 1,723.40-2,582.05-1,666.30

Finding the Fourth Proportional to 1,723.40, 2,582.05 and 1,666.30

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Solution

The fourth proportional to 1,723.40, 2,582.05 and 1,666.30 is: 2,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.40 : 2,582.05 = 1,666.30 : x
  2. Step 2: Convert to fraction form
    1,723.40/2,582.05 = 1,666.30/x
  3. Step 3: Cross multiply
    1,723.40x = 2,582.05 × 1,666.30
  4. Step 4: Simplify right side
    1,723.40x = 4,302,469.92
  5. Step 5: Solve for x
    x = 4,302,469.92/1,723.40
  6. Step 6: Final answer
    x = 2,496.50

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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.