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Finding the Fourth Proportional to 1,729.90, 2,595.06 and 1,080.10

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Solution

The fourth proportional to 1,729.90, 2,595.06 and 1,080.10 is: 1,620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.90 : 2,595.06 = 1,080.10 : x
  2. Step 2: Convert to fraction form
    1,729.90/2,595.06 = 1,080.10/x
  3. Step 3: Cross multiply
    1,729.90x = 2,595.06 × 1,080.10
  4. Step 4: Simplify right side
    1,729.90x = 2,802,924.31
  5. Step 5: Solve for x
    x = 2,802,924.31/1,729.90
  6. Step 6: Final answer
    x = 1,620.28

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1.5x scale

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.