Home / 1,723.06-2,378.01-977.02

Finding the Fourth Proportional to 1,723.06, 2,378.01 and 977.02

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Solution

The fourth proportional to 1,723.06, 2,378.01 and 977.02 is: 1,348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.06 : 2,378.01 = 977.02 : x
  2. Step 2: Convert to fraction form
    1,723.06/2,378.01 = 977.02/x
  3. Step 3: Cross multiply
    1,723.06x = 2,378.01 × 977.02
  4. Step 4: Simplify right side
    1,723.06x = 2,323,363.33
  5. Step 5: Solve for x
    x = 2,323,363.33/1,723.06
  6. Step 6: Final answer
    x = 1,348.39

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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.