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Finding the Fourth Proportional to 8,775.52, 13,164 and 4,392.64

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Solution

The fourth proportional to 8,775.52, 13,164 and 4,392.64 is: 6,589.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,775.52 : 13,164 = 4,392.64 : x
  2. Step 2: Convert to fraction form
    8,775.52/13,164 = 4,392.64/x
  3. Step 3: Cross multiply
    8,775.52x = 13,164 × 4,392.64
  4. Step 4: Simplify right side
    8,775.52x = 57,824,712.96
  5. Step 5: Solve for x
    x = 57,824,712.96/8,775.52
  6. Step 6: Final answer
    x = 6,589.32

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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.