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Finding the Fourth Proportional to 5,836.88, 8,045.16 and 3,970.64

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Solution

The fourth proportional to 5,836.88, 8,045.16 and 3,970.64 is: 5,472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.88 : 8,045.16 = 3,970.64 : x
  2. Step 2: Convert to fraction form
    5,836.88/8,045.16 = 3,970.64/x
  3. Step 3: Cross multiply
    5,836.88x = 8,045.16 × 3,970.64
  4. Step 4: Simplify right side
    5,836.88x = 31,944,434.10
  5. Step 5: Solve for x
    x = 31,944,434.10/5,836.88
  6. Step 6: Final answer
    x = 5,472.86

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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.