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Finding the Fourth Proportional to 2,051.68, 3,077.82 and 753.05

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Solution

The fourth proportional to 2,051.68, 3,077.82 and 753.05 is: 1,129.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.68 : 3,077.82 = 753.05 : x
  2. Step 2: Convert to fraction form
    2,051.68/3,077.82 = 753.05/x
  3. Step 3: Cross multiply
    2,051.68x = 3,077.82 × 753.05
  4. Step 4: Simplify right side
    2,051.68x = 2,317,744.85
  5. Step 5: Solve for x
    x = 2,317,744.85/2,051.68
  6. Step 6: Final answer
    x = 1,129.68

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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.