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Finding the Fourth Proportional to 2,519.71, 3,779.49 and 788.29

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Solution

The fourth proportional to 2,519.71, 3,779.49 and 788.29 is: 1,182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.71 : 3,779.49 = 788.29 : x
  2. Step 2: Convert to fraction form
    2,519.71/3,779.49 = 788.29/x
  3. Step 3: Cross multiply
    2,519.71x = 3,779.49 × 788.29
  4. Step 4: Simplify right side
    2,519.71x = 2,979,334.17
  5. Step 5: Solve for x
    x = 2,979,334.17/2,519.71
  6. Step 6: Final answer
    x = 1,182.41

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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.