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Finding the Fourth Proportional to 5,627, 7,765.74 and 3,143.48

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Solution

The fourth proportional to 5,627, 7,765.74 and 3,143.48 is: 4,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627 : 7,765.74 = 3,143.48 : x
  2. Step 2: Convert to fraction form
    5,627/7,765.74 = 3,143.48/x
  3. Step 3: Cross multiply
    5,627x = 7,765.74 × 3,143.48
  4. Step 4: Simplify right side
    5,627x = 24,411,448.38
  5. Step 5: Solve for x
    x = 24,411,448.38/5,627
  6. Step 6: Final answer
    x = 4,338.27

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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.