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Finding the Fourth Proportional to 5,309, 7,327.23 and 3,214.34

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Solution

The fourth proportional to 5,309, 7,327.23 and 3,214.34 is: 4,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309 : 7,327.23 = 3,214.34 : x
  2. Step 2: Convert to fraction form
    5,309/7,327.23 = 3,214.34/x
  3. Step 3: Cross multiply
    5,309x = 7,327.23 × 3,214.34
  4. Step 4: Simplify right side
    5,309x = 23,552,208.48
  5. Step 5: Solve for x
    x = 23,552,208.48/5,309
  6. Step 6: Final answer
    x = 4,436.28

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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.