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Finding the Fourth Proportional to 2,051.40, 2,830.90 and 1,119.88

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Solution

The fourth proportional to 2,051.40, 2,830.90 and 1,119.88 is: 1,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.40 : 2,830.90 = 1,119.88 : x
  2. Step 2: Convert to fraction form
    2,051.40/2,830.90 = 1,119.88/x
  3. Step 3: Cross multiply
    2,051.40x = 2,830.90 × 1,119.88
  4. Step 4: Simplify right side
    2,051.40x = 3,170,268.29
  5. Step 5: Solve for x
    x = 3,170,268.29/2,051.40
  6. Step 6: Final answer
    x = 1,545.42

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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.