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Finding the Fourth Proportional to 5,289.72, 7,929.18 and 1,824

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Solution

The fourth proportional to 5,289.72, 7,929.18 and 1,824 is: 2,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.72 : 7,929.18 = 1,824 : x
  2. Step 2: Convert to fraction form
    5,289.72/7,929.18 = 1,824/x
  3. Step 3: Cross multiply
    5,289.72x = 7,929.18 × 1,824
  4. Step 4: Simplify right side
    5,289.72x = 14,462,824.32
  5. Step 5: Solve for x
    x = 14,462,824.32/5,289.72
  6. Step 6: Final answer
    x = 2,734.14

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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.