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Finding the Fourth Proportional to 5,187.68, 7,782.88 and 1,724.96

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Solution

The fourth proportional to 5,187.68, 7,782.88 and 1,724.96 is: 2,587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.68 : 7,782.88 = 1,724.96 : x
  2. Step 2: Convert to fraction form
    5,187.68/7,782.88 = 1,724.96/x
  3. Step 3: Cross multiply
    5,187.68x = 7,782.88 × 1,724.96
  4. Step 4: Simplify right side
    5,187.68x = 13,425,156.68
  5. Step 5: Solve for x
    x = 13,425,156.68/5,187.68
  6. Step 6: Final answer
    x = 2,587.89

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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.