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Finding the Fourth Proportional to 2,920.42, 4,030.65 and 1,742.20

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Solution

The fourth proportional to 2,920.42, 4,030.65 and 1,742.20 is: 2,404.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.42 : 4,030.65 = 1,742.20 : x
  2. Step 2: Convert to fraction form
    2,920.42/4,030.65 = 1,742.20/x
  3. Step 3: Cross multiply
    2,920.42x = 4,030.65 × 1,742.20
  4. Step 4: Simplify right side
    2,920.42x = 7,022,198.43
  5. Step 5: Solve for x
    x = 7,022,198.43/2,920.42
  6. Step 6: Final answer
    x = 2,404.52

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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.