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Finding the Fourth Proportional to 5,920.21, 8,880.54 and 1,971.82

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Solution

The fourth proportional to 5,920.21, 8,880.54 and 1,971.82 is: 2,957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.21 : 8,880.54 = 1,971.82 : x
  2. Step 2: Convert to fraction form
    5,920.21/8,880.54 = 1,971.82/x
  3. Step 3: Cross multiply
    5,920.21x = 8,880.54 × 1,971.82
  4. Step 4: Simplify right side
    5,920.21x = 17,510,826.38
  5. Step 5: Solve for x
    x = 17,510,826.38/5,920.21
  6. Step 6: Final answer
    x = 2,957.80

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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.