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Finding the Fourth Proportional to 5,705.85, 7,874.64 and 3,347.94

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Solution

The fourth proportional to 5,705.85, 7,874.64 and 3,347.94 is: 4,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.85 : 7,874.64 = 3,347.94 : x
  2. Step 2: Convert to fraction form
    5,705.85/7,874.64 = 3,347.94/x
  3. Step 3: Cross multiply
    5,705.85x = 7,874.64 × 3,347.94
  4. Step 4: Simplify right side
    5,705.85x = 26,363,822.24
  5. Step 5: Solve for x
    x = 26,363,822.24/5,705.85
  6. Step 6: Final answer
    x = 4,620.49

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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.