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Finding the Fourth Proportional to 5,296.38, 7,309.05 and 2,938.58

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Solution

The fourth proportional to 5,296.38, 7,309.05 and 2,938.58 is: 4,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.38 : 7,309.05 = 2,938.58 : x
  2. Step 2: Convert to fraction form
    5,296.38/7,309.05 = 2,938.58/x
  3. Step 3: Cross multiply
    5,296.38x = 7,309.05 × 2,938.58
  4. Step 4: Simplify right side
    5,296.38x = 21,478,228.15
  5. Step 5: Solve for x
    x = 21,478,228.15/5,296.38
  6. Step 6: Final answer
    x = 4,055.27

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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.