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Finding the Fourth Proportional to 5,266.60, 7,900.40 and 1,982.04

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Solution

The fourth proportional to 5,266.60, 7,900.40 and 1,982.04 is: 2,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.60 : 7,900.40 = 1,982.04 : x
  2. Step 2: Convert to fraction form
    5,266.60/7,900.40 = 1,982.04/x
  3. Step 3: Cross multiply
    5,266.60x = 7,900.40 × 1,982.04
  4. Step 4: Simplify right side
    5,266.60x = 15,658,908.82
  5. Step 5: Solve for x
    x = 15,658,908.82/5,266.60
  6. Step 6: Final answer
    x = 2,973.25

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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.