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Finding the Fourth Proportional to 5,270.48, 7,905.72 and 1,374.88

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Solution

The fourth proportional to 5,270.48, 7,905.72 and 1,374.88 is: 2,062.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.48 : 7,905.72 = 1,374.88 : x
  2. Step 2: Convert to fraction form
    5,270.48/7,905.72 = 1,374.88/x
  3. Step 3: Cross multiply
    5,270.48x = 7,905.72 × 1,374.88
  4. Step 4: Simplify right side
    5,270.48x = 10,869,416.31
  5. Step 5: Solve for x
    x = 10,869,416.31/5,270.48
  6. Step 6: Final answer
    x = 2,062.32

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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.