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Finding the Fourth Proportional to 5,365, 7,403.10 and 3,006.80

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Solution

The fourth proportional to 5,365, 7,403.10 and 3,006.80 is: 4,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365 : 7,403.10 = 3,006.80 : x
  2. Step 2: Convert to fraction form
    5,365/7,403.10 = 3,006.80/x
  3. Step 3: Cross multiply
    5,365x = 7,403.10 × 3,006.80
  4. Step 4: Simplify right side
    5,365x = 22,259,641.08
  5. Step 5: Solve for x
    x = 22,259,641.08/5,365
  6. Step 6: Final answer
    x = 4,149.05

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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.