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Finding the Fourth Proportional to 5,317.44, 7,970.94 and 1,983.25

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Solution

The fourth proportional to 5,317.44, 7,970.94 and 1,983.25 is: 2,972.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.44 : 7,970.94 = 1,983.25 : x
  2. Step 2: Convert to fraction form
    5,317.44/7,970.94 = 1,983.25/x
  3. Step 3: Cross multiply
    5,317.44x = 7,970.94 × 1,983.25
  4. Step 4: Simplify right side
    5,317.44x = 15,808,366.76
  5. Step 5: Solve for x
    x = 15,808,366.76/5,317.44
  6. Step 6: Final answer
    x = 2,972.93

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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.