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Finding the Fourth Proportional to 3,881.84, 5,823.48 and 1,416.32

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Solution

The fourth proportional to 3,881.84, 5,823.48 and 1,416.32 is: 2,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.84 : 5,823.48 = 1,416.32 : x
  2. Step 2: Convert to fraction form
    3,881.84/5,823.48 = 1,416.32/x
  3. Step 3: Cross multiply
    3,881.84x = 5,823.48 × 1,416.32
  4. Step 4: Simplify right side
    3,881.84x = 8,247,911.19
  5. Step 5: Solve for x
    x = 8,247,911.19/3,881.84
  6. Step 6: Final answer
    x = 2,124.74

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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.