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Finding the Fourth Proportional to 1,723.04, 2,568 and 1,720.32

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Solution

The fourth proportional to 1,723.04, 2,568 and 1,720.32 is: 2,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.04 : 2,568 = 1,720.32 : x
  2. Step 2: Convert to fraction form
    1,723.04/2,568 = 1,720.32/x
  3. Step 3: Cross multiply
    1,723.04x = 2,568 × 1,720.32
  4. Step 4: Simplify right side
    1,723.04x = 4,417,781.76
  5. Step 5: Solve for x
    x = 4,417,781.76/1,723.04
  6. Step 6: Final answer
    x = 2,563.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.