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Finding the Fourth Proportional to 5,296.94, 7,309.94 and 2,939.30

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Solution

The fourth proportional to 5,296.94, 7,309.94 and 2,939.30 is: 4,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.94 : 7,309.94 = 2,939.30 : x
  2. Step 2: Convert to fraction form
    5,296.94/7,309.94 = 2,939.30/x
  3. Step 3: Cross multiply
    5,296.94x = 7,309.94 × 2,939.30
  4. Step 4: Simplify right side
    5,296.94x = 21,486,106.64
  5. Step 5: Solve for x
    x = 21,486,106.64/5,296.94
  6. Step 6: Final answer
    x = 4,056.32

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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.