Home / 1,723.16-2,378.30-977.12

Finding the Fourth Proportional to 1,723.16, 2,378.30 and 977.12

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Solution

The fourth proportional to 1,723.16, 2,378.30 and 977.12 is: 1,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.16 : 2,378.30 = 977.12 : x
  2. Step 2: Convert to fraction form
    1,723.16/2,378.30 = 977.12/x
  3. Step 3: Cross multiply
    1,723.16x = 2,378.30 × 977.12
  4. Step 4: Simplify right side
    1,723.16x = 2,323,884.50
  5. Step 5: Solve for x
    x = 2,323,884.50/1,723.16
  6. Step 6: Final answer
    x = 1,348.62

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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.