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Finding the Fourth Proportional to 5,320.98, 7,978.26 and 2,203.02

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Solution

The fourth proportional to 5,320.98, 7,978.26 and 2,203.02 is: 3,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.98 : 7,978.26 = 2,203.02 : x
  2. Step 2: Convert to fraction form
    5,320.98/7,978.26 = 2,203.02/x
  3. Step 3: Cross multiply
    5,320.98x = 7,978.26 × 2,203.02
  4. Step 4: Simplify right side
    5,320.98x = 17,576,266.35
  5. Step 5: Solve for x
    x = 17,576,266.35/5,320.98
  6. Step 6: Final answer
    x = 3,303.20

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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.