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Finding the Fourth Proportional to 4,788.50, 7,178.14 and 1,499.29

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Solution

The fourth proportional to 4,788.50, 7,178.14 and 1,499.29 is: 2,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.50 : 7,178.14 = 1,499.29 : x
  2. Step 2: Convert to fraction form
    4,788.50/7,178.14 = 1,499.29/x
  3. Step 3: Cross multiply
    4,788.50x = 7,178.14 × 1,499.29
  4. Step 4: Simplify right side
    4,788.50x = 10,762,126.90
  5. Step 5: Solve for x
    x = 10,762,126.90/4,788.50
  6. Step 6: Final answer
    x = 2,247.49

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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.