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Finding the Fourth Proportional to 2,559.66, 3,531 and 1,720.46

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Solution

The fourth proportional to 2,559.66, 3,531 and 1,720.46 is: 2,373.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.66 : 3,531 = 1,720.46 : x
  2. Step 2: Convert to fraction form
    2,559.66/3,531 = 1,720.46/x
  3. Step 3: Cross multiply
    2,559.66x = 3,531 × 1,720.46
  4. Step 4: Simplify right side
    2,559.66x = 6,074,944.26
  5. Step 5: Solve for x
    x = 6,074,944.26/2,559.66
  6. Step 6: Final answer
    x = 2,373.34

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1.5x scale

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.