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Finding the Fourth Proportional to 7,877.76, 10,872.64 and 4,734.08

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Solution

The fourth proportional to 7,877.76, 10,872.64 and 4,734.08 is: 6,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.76 : 10,872.64 = 4,734.08 : x
  2. Step 2: Convert to fraction form
    7,877.76/10,872.64 = 4,734.08/x
  3. Step 3: Cross multiply
    7,877.76x = 10,872.64 × 4,734.08
  4. Step 4: Simplify right side
    7,877.76x = 51,471,947.57
  5. Step 5: Solve for x
    x = 51,471,947.57/7,877.76
  6. Step 6: Final answer
    x = 6,533.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.