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Finding the Fourth Proportional to 8,872, 13,308.72 and 2,947.64

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Solution

The fourth proportional to 8,872, 13,308.72 and 2,947.64 is: 4,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,872 : 13,308.72 = 2,947.64 : x
  2. Step 2: Convert to fraction form
    8,872/13,308.72 = 2,947.64/x
  3. Step 3: Cross multiply
    8,872x = 13,308.72 × 2,947.64
  4. Step 4: Simplify right side
    8,872x = 39,229,315.42
  5. Step 5: Solve for x
    x = 39,229,315.42/8,872
  6. Step 6: Final answer
    x = 4,421.70

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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.