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Finding the Fourth Proportional to 3,881.76, 5,820.02 and 1,416.28

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Solution

The fourth proportional to 3,881.76, 5,820.02 and 1,416.28 is: 2,123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.76 : 5,820.02 = 1,416.28 : x
  2. Step 2: Convert to fraction form
    3,881.76/5,820.02 = 1,416.28/x
  3. Step 3: Cross multiply
    3,881.76x = 5,820.02 × 1,416.28
  4. Step 4: Simplify right side
    3,881.76x = 8,242,777.93
  5. Step 5: Solve for x
    x = 8,242,777.93/3,881.76
  6. Step 6: Final answer
    x = 2,123.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.