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Finding the Fourth Proportional to 5,203.78, 7,757.48 and 5,123.86

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Solution

The fourth proportional to 5,203.78, 7,757.48 and 5,123.86 is: 7,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.78 : 7,757.48 = 5,123.86 : x
  2. Step 2: Convert to fraction form
    5,203.78/7,757.48 = 5,123.86/x
  3. Step 3: Cross multiply
    5,203.78x = 7,757.48 × 5,123.86
  4. Step 4: Simplify right side
    5,203.78x = 39,748,241.47
  5. Step 5: Solve for x
    x = 39,748,241.47/5,203.78
  6. Step 6: Final answer
    x = 7,638.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.