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Finding the Fourth Proportional to 3,973, 5,482.98 and 2,317

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Solution

The fourth proportional to 3,973, 5,482.98 and 2,317 is: 3,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973 : 5,482.98 = 2,317 : x
  2. Step 2: Convert to fraction form
    3,973/5,482.98 = 2,317/x
  3. Step 3: Cross multiply
    3,973x = 5,482.98 × 2,317
  4. Step 4: Simplify right side
    3,973x = 12,704,064.66
  5. Step 5: Solve for x
    x = 12,704,064.66/3,973
  6. Step 6: Final answer
    x = 3,197.60

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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.