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Finding the Fourth Proportional to 3,871, 5,341.98 and 2,475.64

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Solution

The fourth proportional to 3,871, 5,341.98 and 2,475.64 is: 3,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871 : 5,341.98 = 2,475.64 : x
  2. Step 2: Convert to fraction form
    3,871/5,341.98 = 2,475.64/x
  3. Step 3: Cross multiply
    3,871x = 5,341.98 × 2,475.64
  4. Step 4: Simplify right side
    3,871x = 13,224,819.37
  5. Step 5: Solve for x
    x = 13,224,819.37/3,871
  6. Step 6: Final answer
    x = 3,416.38

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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.