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Finding the Fourth Proportional to 5,296.91, 7,309.74 and 2,939.05

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Solution

The fourth proportional to 5,296.91, 7,309.74 and 2,939.05 is: 4,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.91 : 7,309.74 = 2,939.05 : x
  2. Step 2: Convert to fraction form
    5,296.91/7,309.74 = 2,939.05/x
  3. Step 3: Cross multiply
    5,296.91x = 7,309.74 × 2,939.05
  4. Step 4: Simplify right side
    5,296.91x = 21,483,682.21
  5. Step 5: Solve for x
    x = 21,483,682.21/5,296.91
  6. Step 6: Final answer
    x = 4,055.89

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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.