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Finding the Fourth Proportional to 5,643.24, 7,779.51 and 3,959.43

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Solution

The fourth proportional to 5,643.24, 7,779.51 and 3,959.43 is: 5,458.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.24 : 7,779.51 = 3,959.43 : x
  2. Step 2: Convert to fraction form
    5,643.24/7,779.51 = 3,959.43/x
  3. Step 3: Cross multiply
    5,643.24x = 7,779.51 × 3,959.43
  4. Step 4: Simplify right side
    5,643.24x = 30,802,425.28
  5. Step 5: Solve for x
    x = 30,802,425.28/5,643.24
  6. Step 6: Final answer
    x = 5,458.29

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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.