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Finding the Fourth Proportional to 5,256, 7,884 and 2,947.68

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Solution

The fourth proportional to 5,256, 7,884 and 2,947.68 is: 4,421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256 : 7,884 = 2,947.68 : x
  2. Step 2: Convert to fraction form
    5,256/7,884 = 2,947.68/x
  3. Step 3: Cross multiply
    5,256x = 7,884 × 2,947.68
  4. Step 4: Simplify right side
    5,256x = 23,239,509.12
  5. Step 5: Solve for x
    x = 23,239,509.12/5,256
  6. Step 6: Final answer
    x = 4,421.52

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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.