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Finding the Fourth Proportional to 5,325.36, 7,982.60 and 1,859.76

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Solution

The fourth proportional to 5,325.36, 7,982.60 and 1,859.76 is: 2,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.36 : 7,982.60 = 1,859.76 : x
  2. Step 2: Convert to fraction form
    5,325.36/7,982.60 = 1,859.76/x
  3. Step 3: Cross multiply
    5,325.36x = 7,982.60 × 1,859.76
  4. Step 4: Simplify right side
    5,325.36x = 14,845,720.18
  5. Step 5: Solve for x
    x = 14,845,720.18/5,325.36
  6. Step 6: Final answer
    x = 2,787.74

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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.