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Finding the Fourth Proportional to 3,509.76, 5,256.32 and 1,947.52

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Solution

The fourth proportional to 3,509.76, 5,256.32 and 1,947.52 is: 2,916.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.76 : 5,256.32 = 1,947.52 : x
  2. Step 2: Convert to fraction form
    3,509.76/5,256.32 = 1,947.52/x
  3. Step 3: Cross multiply
    3,509.76x = 5,256.32 × 1,947.52
  4. Step 4: Simplify right side
    3,509.76x = 10,236,788.33
  5. Step 5: Solve for x
    x = 10,236,788.33/3,509.76
  6. Step 6: Final answer
    x = 2,916.66

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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.