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Finding the Fourth Proportional to 5,699.70, 7,902.90 and 5,408.10

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Solution

The fourth proportional to 5,699.70, 7,902.90 and 5,408.10 is: 7,498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.70 : 7,902.90 = 5,408.10 : x
  2. Step 2: Convert to fraction form
    5,699.70/7,902.90 = 5,408.10/x
  3. Step 3: Cross multiply
    5,699.70x = 7,902.90 × 5,408.10
  4. Step 4: Simplify right side
    5,699.70x = 42,739,673.49
  5. Step 5: Solve for x
    x = 42,739,673.49/5,699.70
  6. Step 6: Final answer
    x = 7,498.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.