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Finding the Fourth Proportional to 4,290.56, 5,919 and 2,966.12

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Solution

The fourth proportional to 4,290.56, 5,919 and 2,966.12 is: 4,091.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.56 : 5,919 = 2,966.12 : x
  2. Step 2: Convert to fraction form
    4,290.56/5,919 = 2,966.12/x
  3. Step 3: Cross multiply
    4,290.56x = 5,919 × 2,966.12
  4. Step 4: Simplify right side
    4,290.56x = 17,556,464.28
  5. Step 5: Solve for x
    x = 17,556,464.28/4,290.56
  6. Step 6: Final answer
    x = 4,091.88

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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.