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Finding the Fourth Proportional to 5,320.56, 7,980.24 and 1,425.28

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Solution

The fourth proportional to 5,320.56, 7,980.24 and 1,425.28 is: 2,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.56 : 7,980.24 = 1,425.28 : x
  2. Step 2: Convert to fraction form
    5,320.56/7,980.24 = 1,425.28/x
  3. Step 3: Cross multiply
    5,320.56x = 7,980.24 × 1,425.28
  4. Step 4: Simplify right side
    5,320.56x = 11,374,076.47
  5. Step 5: Solve for x
    x = 11,374,076.47/5,320.56
  6. Step 6: Final answer
    x = 2,137.76

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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.